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213132132120312 = 23326774372479323
BaseRepresentation
bin110000011101011110110001…
…000001100111011011111000
31000221122020021202000202200200
4300131132301001213123320
5210413424101310322222
62033143314432002200
762615200630506606
oct6035366101473370
91027566252022620
10213132132120312
1161a01914269779
121baa2527990360
1391c0373774a72
143a8b916362876
1519990c8848eac
hexc1d7b10676f8

213132132120312 has 48 divisors (see below), whose sum is σ = 578085491426040. Its totient is φ = 70939104520128.

The previous prime is 213132132120263. The next prime is 213132132120353. The reversal of 213132132120312 is 213021231231312.

213132132120312 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 2 + 1 + 321 + 20 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2186190918 + ... + 2186288405.

Almost surely, 2213132132120312 is an apocalyptic number.

It is an amenable number.

213132132120312 is an abundant number, since it is smaller than the sum of its proper divisors (364953359305728).

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

213132132120312 is a wasteful number, since it uses less digits than its factorization.

213132132120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372480012 (or 4372480005 counting only the distinct ones).

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

Adding to 213132132120312 its reverse (213021231231312), we get a palindrome (426153363351624).

The spelling of 213132132120312 in words is "two hundred thirteen trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 677 1354 2031 2708 4062 5416 6093 8124 12186 16248 24372 48744 4372479323 8744958646 13117437969 17489917292 26234875938 34979834584 39352313907 52469751876 78704627814 104939503752 157409255628 314818511256 2960168501671 5920337003342 8880505505013 11840674006684 17761011010026 23681348013368 26641516515039 35522022020052 53283033030078 71044044040104 106566066060156 213132132120312