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21316971312 = 2433713542251
BaseRepresentation
bin10011110110100101…
…110010101100110000
32001000121122100021000
4103312211302230300
5322124121040222
613443132402000
71353153160260
oct236645625460
961017570230
1021316971312
11904996906a
12416b016300
1320194a55c0
1410631837a0
1584b6ae9ac
hex4f6972b30

21316971312 has 160 divisors (see below), whose sum is σ = 75307957760. Its totient is φ = 5622048000.

The previous prime is 21316971311. The next prime is 21316971329. The reversal of 21316971312 is 21317961312.

21316971312 is a `hidden beast` number, since 21 + 316 + 9 + 7 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21316971311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231814 + ... + 310437.

It is an arithmetic number, because the mean of its divisors is an integer number (470674736).

Almost surely, 221316971312 is an apocalyptic number.

It is an amenable number.

21316971312 is an abundant number, since it is smaller than the sum of its proper divisors (53990986448).

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

21316971312 is a wasteful number, since it uses less digits than its factorization.

21316971312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542288 (or 542276 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The spelling of 21316971312 in words is "twenty-one billion, three hundred sixteen million, nine hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 542251 1084502 1626753 2169004 3253506 3795757 4338008 4880259 6507012 7049263 7591514 8676016 9760518 11387271 13014024 14098526 14640777 15183028 19521036 21147789 22774542 26028048 28197052 29281554 30366056 34161813 39042072 42295578 45549084 49344841 56394104 58563108 60732112 63443367 68323626 78084144 84591156 91098168 98689682 102485439 112788208 117126216 126886734 136647252 148034523 169182312 182196336 190330101 197379364 204970878 234252432 253773468 273294504 296069046 338364624 380660202 394758728 409941756 444103569 507546936 546589008 592138092 761320404 789517456 819883512 888207138 1015093872 1184276184 1332310707 1522640808 1639767024 1776414276 2368552368 2664621414 3045281616 3552828552 5329242828 7105657104 10658485656 21316971312