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21012131232 = 25321131793607
BaseRepresentation
bin10011100100011010…
…111010110110100000
32000020101000212021200
4103210122322312200
5321013101144412
613353002521200
71342462111551
oct234432726640
960211025250
1021012131232
118a02889214
1240a4b06200
131c9b2a1761
1410348b0328
1582ea469dc
hex4e46bada0

21012131232 has 144 divisors (see below), whose sum is σ = 60635615040. Its totient is φ = 6901364736.

The previous prime is 21012131209. The next prime is 21012131311. The reversal of 21012131232 is 23213121012.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 5823573 + ... + 5827179.

It is an arithmetic number, because the mean of its divisors is an integer number (421080660).

Almost surely, 221012131232 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 21012131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30317807520).

21012131232 is an abundant number, since it is smaller than the sum of its proper divisors (39623483808).

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

21012131232 is a wasteful number, since it uses less digits than its factorization.

21012131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3904 counting only the distinct ones).

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

Adding to 21012131232 its reverse (23213121012), we get a palindrome (44225252244).

The spelling of 21012131232 in words is "twenty-one billion, twelve million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 179 226 288 339 358 452 537 678 716 904 1017 1074 1356 1432 1611 1808 2034 2148 2712 2864 3222 3607 3616 4068 4296 5424 5728 6444 7214 8136 8592 10821 10848 12888 14428 16272 17184 20227 21642 25776 28856 32463 32544 40454 43284 51552 57712 60681 64926 80908 86568 115424 121362 129852 161816 173136 182043 242724 259704 323632 346272 364086 407591 485448 519408 645653 647264 728172 815182 970896 1038816 1222773 1291306 1456344 1630364 1936959 1941792 2445546 2582612 2912688 3260728 3668319 3873918 4891092 5165224 5810877 5825376 6521456 7336638 7747836 9782184 10330448 11621754 13042912 14673276 15495672 19564368 20660896 23243508 29346552 30991344 39128736 46487016 58693104 61982688 72958789 92974032 117386208 145917578 185948064 218876367 291835156 437752734 583670312 656629101 875505468 1167340624 1313258202 1751010936 2334681248 2626516404 3502021872 5253032808 7004043744 10506065616 21012131232