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21312233321412 = 223114729311724371
BaseRepresentation
bin1001101100010001001000…
…00110001011001111000100
32210110102121011222002001010
410312020210012023033010
510243134423212241122
6113154412124202220
74326521003145345
oct466104406131704
983412534862033
1021312233321412
116877516112710
122482553999370
13bb79729959a7
145397363dc0cc
1526e5a7c68e0c
hex13622418b3c4

21312233321412 has 96 divisors (see below), whose sum is σ = 55592657455104. Its totient is φ = 6299269513600.

The previous prime is 21312233321363. The next prime is 21312233321443. The reversal of 21312233321412 is 21412333221312.

It is a super-2 number, since 2×213122333214122 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21312233321412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4044414 + ... + 7679957.

It is an arithmetic number, because the mean of its divisors is an integer number (579090181824).

Almost surely, 221312233321412 is an apocalyptic number.

21312233321412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21312233321412 is an abundant number, since it is smaller than the sum of its proper divisors (34280424133692).

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

21312233321412 is a wasteful number, since it uses less digits than its factorization.

21312233321412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11724729 (or 11724727 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 21312233321412 its reverse (21412333221312), we get a palindrome (42724566542724).

The spelling of 21312233321412 in words is "twenty-one trillion, three hundred twelve billion, two hundred thirty-three million, three hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 293 517 564 586 879 1034 1172 1551 1758 2068 3102 3223 3516 6204 6446 9669 12892 13771 19338 27542 38676 41313 55084 82626 151481 165252 302962 454443 605924 908886 1817772 11724371 23448742 35173113 46897484 70346226 128968081 140692452 257936162 386904243 515872324 551045437 773808486 1102090874 1547616972 1653136311 2204181748 3306272622 3435240703 6061499807 6612545244 6870481406 10305722109 12122999614 13740962812 18184499421 20611444218 24245999228 36368998842 37787647733 41222888436 72737997684 75575295466 113362943199 151150590932 161456313041 226725886398 322912626082 453451772796 484368939123 645825252164 968737878246 1776019443451 1937475756492 3552038886902 5328058330353 7104077773804 10656116660706 21312233321412