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21313232132112 = 2433432611140431
BaseRepresentation
bin1001101100010010111111…
…01000010101100000010000
32210110112011210101220202000
410312021133220111200100
510243143444411211422
6113155055204154000
74326554521664034
oct466113750254020
983415153356660
1021313232132112
1168779889a39a8
122482792398900
13bb7aa18a773b
145397ccd1a1c4
1526e6157b2cac
hex13625fa15810

21313232132112 has 80 divisors (see below), whose sum is σ = 61178337788160. Its totient is φ = 7104240259200.

The previous prime is 21313232132107. The next prime is 21313232132147. The reversal of 21313232132112 is 21123123231312.

21313232132112 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 2 + 321 + 321 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 18118537 + ... + 19258967.

It is an arithmetic number, because the mean of its divisors is an integer number (764729222352).

Almost surely, 221313232132112 is an apocalyptic number.

It is an amenable number.

21313232132112 is an abundant number, since it is smaller than the sum of its proper divisors (39865105656048).

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

21313232132112 is a wasteful number, since it uses less digits than its factorization.

21313232132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183709 (or 1183697 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 21313232132112 its reverse (21123123231312), we get a palindrome (42436355363424).

The spelling of 21313232132112 in words is "twenty-one trillion, three hundred thirteen billion, two hundred thirty-two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 43261 86522 129783 173044 259566 346088 389349 519132 692176 778698 1038264 1140431 1168047 1557396 2076528 2280862 2336094 3114792 3421293 4561724 4672188 6229584 6842586 9123448 9344376 10263879 13685172 18246896 18688752 20527758 27370344 30791637 41055516 54740688 61583274 82111032 123166548 164222064 246333096 492666192 49336185491 98672370982 148008556473 197344741964 296017112946 394689483928 444025669419 592034225892 789378967856 888051338838 1184068451784 1332077008257 1776102677676 2368136903568 2664154016514 3552205355352 5328308033028 7104410710704 10656616066056 21313232132112