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21103103232 = 28336150051
BaseRepresentation
bin10011101001110101…
…111100110100000000
32000110201012201102000
4103221311330310000
5321204343300412
613410012424000
71344645263211
oct235165746400
960421181360
1021103103232
118a4a173892
12410b478000
131cb40a3c43
1410429d1408
15837a164dc
hex4e9d7cd00

21103103232 has 144 divisors (see below), whose sum is σ = 63429898560. Its totient is φ = 6918912000.

The previous prime is 21103103213. The next prime is 21103103237. The reversal of 21103103232 is 23230130112.

21103103232 is a `hidden beast` number, since 21 + 10 + 310 + 323 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21103103237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 396607 + ... + 446657.

Almost surely, 221103103232 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 21103103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31714949280).

21103103232 is an abundant number, since it is smaller than the sum of its proper divisors (42326795328).

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

21103103232 is an equidigital number, since it uses as much as digits as its factorization.

21103103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50137 (or 50117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21103103232 its reverse (23230130112), we get a palindrome (44333233344).

The spelling of 21103103232 in words is "twenty-one billion, one hundred three million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 549 576 732 768 864 976 1098 1152 1464 1647 1728 1952 2196 2304 2928 3294 3456 3904 4392 5856 6588 6912 7808 8784 11712 13176 15616 17568 23424 26352 35136 46848 50051 52704 70272 100102 105408 140544 150153 200204 210816 300306 400408 421632 450459 600612 800816 900918 1201224 1351377 1601632 1801836 2402448 2702754 3053111 3203264 3603672 4804896 5405508 6106222 6406528 7207344 9159333 9609792 10811016 12212444 12813056 14414688 18318666 19219584 21622032 24424888 27477999 28829376 36637332 38439168 43244064 48849776 54955998 57658752 73274664 82433997 86488128 97699552 109911996 115317504 146549328 164867994 172976256 195399104 219823992 293098656 329735988 345952512 390798208 439647984 586197312 659471976 781596416 879295968 1172394624 1318943952 1758591936 2344789248 2637887904 3517183872 5275775808 7034367744 10551551616 21103103232