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21221011232 = 2519297316487
BaseRepresentation
bin10011110000110111…
…101110111100100000
32000202221002001202222
4103300313232330200
5321430034324412
613425423530212
71350606422261
oct236067567440
960687061688
1021221011232
118aaa786913
124142a59968
1320026478a5
141054524968
15843057072
hex4f0deef20

21221011232 has 96 divisors (see below), whose sum is σ = 46120233600. Its totient is φ = 9571903488.

The previous prime is 21221011181. The next prime is 21221011241. The reversal of 21221011232 is 23211012212.

It is a self number, because there is not a number n which added to its sum of digits gives 21221011232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278893 + ... + 1295379.

It is an arithmetic number, because the mean of its divisors is an integer number (480419100).

Almost surely, 221221011232 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 21221011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23060116800).

21221011232 is an abundant number, since it is smaller than the sum of its proper divisors (24899222368).

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

21221011232 is a wasteful number, since it uses less digits than its factorization.

21221011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21221011232 its reverse (23211012212), we get a palindrome (44432023444).

The spelling of 21221011232 in words is "twenty-one billion, two hundred twenty-one million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 73 76 116 146 152 232 292 304 464 551 584 608 928 1102 1168 1387 2117 2204 2336 2774 4234 4408 5548 8468 8816 11096 16487 16936 17632 22192 32974 33872 40223 44384 65948 67744 80446 131896 160892 263792 313253 321784 478123 527584 626506 643568 956246 1203551 1253012 1287136 1912492 2407102 2506024 3824984 4814204 5012048 7649968 9084337 9628408 10024096 15299936 18168674 19256816 22867469 34902979 36337348 38513632 45734938 69805958 72674696 91469876 139611916 145349392 182939752 279223832 290698784 365879504 558447664 663156601 731759008 1116895328 1326313202 2652626404 5305252808 10610505616 21221011232