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21421121172 = 22311711132179
BaseRepresentation
bin10011111100110011…
…000101111010010100
32001021212121201000020
4103330303011322110
5322332301334142
613501332545140
71355556345213
oct237463057224
961255551006
1021421121172
1190a2734430
124199a821b0
132034c3cc39
141072d3507a
158558d3cec
hex4fccc5e94

21421121172 has 144 divisors (see below), whose sum is σ = 56099796480. Its totient is φ = 6307750400.

The previous prime is 21421121171. The next prime is 21421121203. The reversal of 21421121172 is 27112112412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21421121171) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 119670979 + ... + 119671157.

It is an arithmetic number, because the mean of its divisors is an integer number (389581920).

Almost surely, 221421121172 is an apocalyptic number.

21421121172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21421121172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28049898240).

21421121172 is an abundant number, since it is smaller than the sum of its proper divisors (34678675308).

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

21421121172 is a wasteful number, since it uses less digits than its factorization.

21421121172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 379 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

Adding to 21421121172 its reverse (27112112412), we get a palindrome (48533233584).

The spelling of 21421121172 in words is "twenty-one billion, four hundred twenty-one million, one hundred twenty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 113 132 142 179 213 226 284 339 358 426 452 537 678 716 781 852 1074 1243 1356 1562 1969 2148 2343 2486 3124 3729 3938 4686 4972 5907 7458 7876 8023 9372 11814 12709 12769 14916 16046 20227 23628 24069 25418 25538 32092 38127 38307 40454 48138 50836 51076 60681 76254 76614 80908 88253 96276 121362 139799 140459 152508 153228 176506 222497 242724 264759 279598 280918 353012 419397 421377 444994 529518 559196 561836 667491 838794 842754 889988 906599 1059036 1334982 1436117 1677588 1685508 1813198 2285651 2669964 2719797 2872234 3626396 4308351 4571302 5439594 5744468 6856953 8616702 9142604 9972589 10879188 13713906 15797287 17233404 19945178 25142161 27427812 29917767 31594574 39890356 47391861 50284322 59835534 63189148 75426483 94783722 100568644 119671068 150852966 162281221 189567444 301705932 324562442 486843663 649124884 973687326 1785093431 1947374652 3570186862 5355280293 7140373724 10710560586 21421121172