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210332002120020 = 2232511538719719377
BaseRepresentation
bin101111110100101110111100…
…010001010111000101010100
31000120201112122212102110212100
4233310232330101113011110
5210032034420020320040
62023201104324122100
762205662042305104
oct5764567421270524
91016645585373770
10210332002120020
1161022334942040
121b70b901b36330
1390492b83483a1
1439d21a218b204
15194b340e4ab30
hexbf4bbc457154

210332002120020 has 144 divisors (see below), whose sum is σ = 696136952766528. Its totient is φ = 50980108385280.

The previous prime is 210332002120001. The next prime is 210332002120103. The reversal of 210332002120020 is 20021200233012.

210332002120020 is a `hidden beast` number, since 2 + 103 + 320 + 0 + 21 + 200 + 20 = 666.

It is a super-2 number, since 2×2103320021200202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210332002119975 and 210332002120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806572 + ... + 20525948.

It is an arithmetic number, because the mean of its divisors is an integer number (4834284394212).

Almost surely, 2210332002120020 is an apocalyptic number.

210332002120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210332002120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348068476383264).

210332002120020 is an abundant number, since it is smaller than the sum of its proper divisors (485804950646508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210332002120020 is a wasteful number, since it uses less digits than its factorization.

210332002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19724790 (or 19724785 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 210332002120020 its reverse (20021200233012), we get a palindrome (230353202353032).

The spelling of 210332002120020 in words is "two hundred ten trillion, three hundred thirty-two billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5387 10774 16161 21548 26935 32322 48483 53870 59257 64644 80805 96966 107740 118514 161610 177771 193932 237028 242415 296285 323220 355542 484830 533313 592570 711084 888855 969660 1066626 1185140 1777710 2133252 2666565 3555420 5333130 10666260 19719377 39438754 59158131 78877508 98596885 118316262 177474393 197193770 216913147 236632524 295790655 354948786 394387540 433826294 591581310 650739441 709897572 867652588 887371965 1084565735 1183162620 1301478882 1774743930 1952218323 2169131470 2602957764 3253697205 3549487860 3904436646 4338262940 6507394410 7808873292 9761091615 13014788820 19522183230 39044366460 106228283899 212456567798 318684851697 424913135596 531141419495 637369703394 956054555091 1062282838990 1168511122889 1274739406788 1593424258485 1912109110182 2124565677980 2337022245778 3186848516970 3505533368667 3824218220364 4674044491556 4780272775455 5842555614445 6373697033940 7011066737334 9560545550910 10516600106001 11685111228890 14022133474668 17527666843335 19121091101820 21033200212002 23370222457780 35055333686670 42066400424004 52583000530005 70110667373340 105166001060010 210332002120020