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32212131012 = 223217418315467
BaseRepresentation
bin11101111111111111…
…100001110011000100
310002010220210210122100
4131333333201303010
51011432301143022
622444213432100
72220150411255
oct357777416304
9102126723570
1032212131012
111272a9a9886
1262ab93b630
133064783269
1417b8162b2c
15c87e401ac
hex77ffe1cc4

32212131012 has 144 divisors (see below), whose sum is σ = 89387468352. Its totient is φ = 9739868160.

The previous prime is 32212130989. The next prime is 32212131019. The reversal of 32212131012 is 21013121223.

32212131012 is a `hidden beast` number, since 322 + 1 + 21 + 310 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (32212131019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2074903 + ... + 2090369.

It is an arithmetic number, because the mean of its divisors is an integer number (620746308).

Almost surely, 232212131012 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 32212131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44693734176).

32212131012 is an abundant number, since it is smaller than the sum of its proper divisors (57175337340).

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

32212131012 is a wasteful number, since it uses less digits than its factorization.

32212131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618 (or 15613 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32212131012 its reverse (21013121223), we get a palindrome (53225252235).

The spelling of 32212131012 in words is "thirty-two billion, two hundred twelve million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 83 102 123 153 164 166 204 246 249 306 332 369 492 498 612 697 738 747 996 1394 1411 1476 1494 2091 2788 2822 2988 3403 4182 4233 5644 6273 6806 8364 8466 10209 12546 12699 13612 15467 16932 20418 25092 25398 30627 30934 40836 46401 50796 57851 61254 61868 92802 115702 122508 139203 173553 185604 231404 262939 278406 347106 520659 525878 556812 634147 694212 788817 1041318 1051756 1268294 1283761 1577634 1902441 2082636 2366451 2536588 2567522 3155268 3804882 3851283 4732902 5135044 5707323 7609764 7702566 9465804 10780499 11414646 11553849 15405132 21560998 21823937 22829292 23107698 32341497 43121996 43647874 46215396 52634201 64682994 65471811 87295748 97024491 105268402 129365988 130943622 157902603 194048982 196415433 210536804 261887244 315805206 388097964 392830866 473707809 631610412 785661732 894781417 947415618 1789562834 1894831236 2684344251 3579125668 5368688502 8053032753 10737377004 16106065506 32212131012