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213211102312 = 23137128874743
BaseRepresentation
bin1100011010010001011…
…1110011110001101000
3202101100001022012220001
43012210113303301220
511443124020233222
6241540421512344
721255366316165
oct3064427636150
9671301265801
10213211102312
118247112197a
12353a3b726b4
131714b364690
14a4688bd06c
15582d1c4e27
hex31a45f3c68

213211102312 has 32 divisors (see below), whose sum is σ = 436586129280. Its totient is φ = 97019133120.

The previous prime is 213211102309. The next prime is 213211102337. The reversal of 213211102312 is 213201112312.

213211102312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213211102312.

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 7 ways as a sum of consecutive naturals, for example, 14429988 + ... + 14444755.

It is an arithmetic number, because the mean of its divisors is an integer number (13643316540).

Almost surely, 2213211102312 is an apocalyptic number.

It is an amenable number.

213211102312 is an abundant number, since it is smaller than the sum of its proper divisors (223375026968).

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

213211102312 is a wasteful number, since it uses less digits than its factorization.

213211102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28874833 (or 28874829 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 213211102312 its reverse (213201112312), we get a palindrome (426412214624).

The spelling of 213211102312 in words is "two hundred thirteen billion, two hundred eleven million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 7384 28874743 57749486 115498972 230997944 375371659 750743318 1501486636 2050106753 3002973272 4100213506 8200427012 16400854024 26651387789 53302775578 106605551156 213211102312