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21531432312 = 2334134359441
BaseRepresentation
bin10100000011010111…
…111001010101111000
32001120120012002110000
4110003113321111320
5323044021313222
613520313153000
71361366104065
oct240327712570
961516162400
1021531432312
119149a28865
12420a9bb760
132051a53ac0
14108384bc6c
158604239ac
hex5035f9578

21531432312 has 160 divisors (see below), whose sum is σ = 66458533680. Its totient is φ = 6470876160.

The previous prime is 21531432289. The next prime is 21531432319. The reversal of 21531432312 is 21323413512.

21531432312 is a `hidden beast` number, since 2 + 1 + 5 + 314 + 32 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21531432319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 332512 + ... + 391952.

Almost surely, 221531432312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21531432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33229266840).

21531432312 is an abundant number, since it is smaller than the sum of its proper divisors (44927101368).

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

21531432312 is a wasteful number, since it uses less digits than its factorization.

21531432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59515 (or 59502 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 21531432312 its reverse (21323413512), we get a palindrome (42854845824).

The spelling of 21531432312 in words is "twenty-one billion, five hundred thirty-one million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 81 86 104 108 117 129 156 162 172 216 234 258 312 324 344 351 387 468 516 559 648 702 774 936 1032 1053 1118 1161 1404 1548 1677 2106 2236 2322 2808 3096 3354 3483 4212 4472 4644 5031 6708 6966 8424 9288 10062 13416 13932 15093 20124 27864 30186 40248 45279 59441 60372 90558 118882 120744 178323 181116 237764 356646 362232 475528 534969 713292 772733 1069938 1426584 1545466 1604907 2139876 2318199 2555963 3090932 3209814 4279752 4636398 4814721 5111926 6181864 6419628 6954597 7667889 9272796 9629442 10223852 12839256 13909194 15335778 18545592 19258884 20447704 20863791 23003667 27818388 30671556 33227519 38517768 41727582 46007334 55636776 61343112 62591373 66455038 69011001 83455164 92014668 99682557 125182746 132910076 138022002 166910328 184029336 199365114 207033003 250365492 265820152 276044004 299047671 398730228 414066006 500730984 552088008 598095342 797460456 828132012 897143013 1196190684 1656264024 1794286026 2392381368 2691429039 3588572052 5382858078 7177144104 10765716156 21531432312