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210200143120 = 245111099772243
BaseRepresentation
bin1100001111000011100…
…1111010010100010000
3202002120012122122100221
43003300321322110100
511420442214034440
6240321542322424
721120645510412
oct3036071722420
9662505578327
10210200143120
1181166556750
12348a3729414
1316a8b613b16
14a260a629b2
155703bb8d4a
hex30f0e7a510

210200143120 has 160 divisors (see below), whose sum is σ = 538826048640. Its totient is φ = 75623915520.

The previous prime is 210200143091. The next prime is 210200143159. The reversal of 210200143120 is 21341002012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210200143094 and 210200143103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93712719 + ... + 93714961.

It is an arithmetic number, because the mean of its divisors is an integer number (3367662804).

Almost surely, 2210200143120 is an apocalyptic number.

210200143120 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 210200143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269413024320).

210200143120 is an abundant number, since it is smaller than the sum of its proper divisors (328625905520).

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

210200143120 is a wasteful number, since it uses less digits than its factorization.

210200143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210200143120 its reverse (21341002012), we get a palindrome (231541145132).

The spelling of 210200143120 in words is "two hundred ten billion, two hundred million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 977 1090 1199 1744 1954 2180 2243 2398 3908 4360 4486 4796 4885 5995 7816 8720 8972 9592 9770 10747 11215 11990 15632 17944 19184 19540 21494 22430 23980 24673 35888 39080 42988 44860 47960 49346 53735 78160 85976 89720 95920 98692 106493 107470 123365 171952 179440 197384 212986 214940 244487 246730 394768 425972 429880 488974 493460 532465 851944 859760 977948 986920 1064930 1171423 1222435 1703888 1955896 1973840 2129860 2191411 2342846 2444870 2689357 3911792 4259720 4382822 4685692 4889740 5378714 5857115 8519440 8765644 9371384 9779480 10757428 10957055 11714230 13446785 17531288 18742768 19558960 21514856 21914110 23428460 24105521 26893570 35062576 43029712 43828220 46856920 48211042 53787140 87656440 93713840 96422084 107574280 120527605 175312880 192844168 215148560 238863799 241055210 385688336 477727598 482110420 955455196 964220840 1194318995 1910910392 1928441680 2388637990 2627501789 3821820784 4777275980 5255003578 9554551960 10510007156 13137508945 19109103920 21020014312 26275017890 42040028624 52550035780 105100071560 210200143120