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20012322121020 = 223251072621396437
BaseRepresentation
bin1001000110011011110110…
…10110011110010100111100
32121212011022010201002222100
410203031323112132110330
510110340213430333040
6110321311151545100
74133561666226645
oct443157326362474
977764263632870
1020012322121020
1164161a6131a29
1222b263222b190
13b222000bccc8
144d285c96a6cc
1524a876a34b30
hex12337b59e53c

20012322121020 has 144 divisors (see below), whose sum is σ = 61294902990048. Its totient is φ = 5284713884160.

The previous prime is 20012322120961. The next prime is 20012322121049. The reversal of 20012322121020 is 2012122321002.

20012322121020 is a `hidden beast` number, since 200 + 1 + 2 + 322 + 121 + 0 + 20 = 666.

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 = 20012322120984 and 20012322121002.

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, 50282242 + ... + 50678678.

It is an arithmetic number, because the mean of its divisors is an integer number (425659048542).

Almost surely, 220012322121020 is an apocalyptic number.

20012322121020 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 20012322121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30647451495024).

20012322121020 is an abundant number, since it is smaller than the sum of its proper divisors (41282580869028).

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

20012322121020 is a wasteful number, since it uses less digits than its factorization.

20012322121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399180 (or 399175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20012322121020 its reverse (2012122321002), we get a palindrome (22024444442022).

The spelling of 20012322121020 in words is "twenty trillion, twelve billion, three hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 2621 3210 3852 4815 5242 6420 7863 9630 10484 13105 15726 19260 23589 26210 31452 39315 47178 52420 78630 94356 117945 157260 235890 280447 396437 471780 560894 792874 841341 1121788 1189311 1402235 1585748 1682682 1982185 2378622 2524023 2804470 3365364 3567933 3964370 4206705 4757244 5048046 5608940 5946555 7135866 7928740 8413410 10096092 11893110 12620115 14271732 16826820 17839665 23786220 25240230 35679330 42418759 50480460 71358660 84837518 127256277 169675036 212093795 254512554 381768831 424187590 509025108 636281385 763537662 848375180 1039061377 1272562770 1527075324 1908844155 2078122754 2545125540 3117184131 3817688310 4156245508 5195306885 6234368262 7635376620 9351552393 10390613770 12468736524 15585920655 18703104786 20781227540 31171841310 37406209572 46757761965 62343682620 93515523930 111179567339 187031047860 222359134678 333538702017 444718269356 555897836695 667077404034 1000616106051 1111795673390 1334154808068 1667693510085 2001232212102 2223591346780 3335387020170 4002464424204 5003080530255 6670774040340 10006161060510 20012322121020