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21313233231312 = 24311371090972217
BaseRepresentation
bin1001101100010010111111…
…01100100001110111010000
32210110112011212110202120010
410312021133230201313100
510243144000201400222
6113155055243514520
74326554534222511
oct466113754416720
983415155422503
1021313233231312
116877989584830
122482792828a40
13bb7aa1ba0b59
145397cd124a08
1526e61592d80c
hex13625fb21dd0

21313233231312 has 80 divisors (see below), whose sum is σ = 61687933094592. Its totient is φ = 6283999964160.

The previous prime is 21313233231299. The next prime is 21313233231343.

21313233231312 is nontrivially palindromic in base 10.

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 21313233231312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545466573 + ... + 545505644.

Almost surely, 221313233231312 is an apocalyptic number.

21313233231312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21313233231312 is an abundant number, since it is smaller than the sum of its proper divisors (40374699863280).

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

21313233231312 is a wasteful number, since it uses less digits than its factorization.

21313233231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090972276 (or 1090972270 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2131323 and 3231312, that added together give a palindrome (5362635).

The spelling of 21313233231312 in words is "twenty-one trillion, three hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 1090972217 2181944434 3272916651 4363888868 6545833302 8727777736 12000694387 13091666604 17455555472 24001388774 26183333208 36002083161 40365972029 48002777548 52366666416 72004166322 80731944058 96005555096 121097916087 144008332644 161463888116 192011110192 242195832174 288016665288 322927776232 444025692319 484391664348 576033330576 645855552464 888051384638 968783328696 1332077076957 1776102769276 1937566657392 2664154153914 3552205538552 5328308307828 7104411077104 10656616615656 21313233231312