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213431314212 = 22321512260017
BaseRepresentation
bin1100011011000101111…
…1110110011100100100
3202101220101200010211100
43012301133312130210
511444101404023322
6242014325440100
721264012144324
oct3066137663444
9671811603740
10213431314212
118257445a386
1235445870030
1317184b7768c
14a489c43284
1558426c2dac
hex31b17f6724

213431314212 has 54 divisors (see below), whose sum is σ = 543105577014. Its totient is φ = 70672348800.

The previous prime is 213431314199. The next prime is 213431314223. The reversal of 213431314212 is 212413134312.

213431314212 is a `hidden beast` number, since 2 + 1 + 3 + 431 + 3 + 14 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159637006116 + 53794308096 = 399546^2 + 231936^2 .

It is a super-2 number, since 2×2134313142122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 690828 + ... + 950844.

Almost surely, 2213431314212 is an apocalyptic number.

It is an amenable number.

213431314212 is an abundant number, since it is smaller than the sum of its proper divisors (329674262802).

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

213431314212 is a wasteful number, since it uses less digits than its factorization.

213431314212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260329 (or 260173 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 213431314212 its reverse (212413134312), we get a palindrome (425844448524).

The spelling of 213431314212 in words is "two hundred thirteen billion, four hundred thirty-one million, three hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 22801 45602 68403 91204 136806 205209 260017 273612 410418 520034 780051 820836 1040068 1560102 2340153 3120204 4680306 9360612 39262567 78525134 117787701 157050268 235575402 353363103 471150804 706726206 1413452412 5928647617 11857295234 17785942851 23714590468 35571885702 53357828553 71143771404 106715657106 213431314212