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213325422112 = 25111693357967
BaseRepresentation
bin1100011010101100101…
…1111001111000100000
3202101122000102021011201
43012223023321320200
511443342302001422
6242000024050544
721261255112105
oct3065313717040
9671560367151
10213325422112
118251a704050
1235416303a54
1317168c5002a
14a479b5aaac
155838257727
hex31ab2f9e20

213325422112 has 48 divisors (see below), whose sum is σ = 458436730752. Its totient is φ = 96908555520.

The previous prime is 213325422083. The next prime is 213325422127. The reversal of 213325422112 is 211224523312.

It is a happy number.

213325422112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 416953 + ... + 774919.

It is an arithmetic number, because the mean of its divisors is an integer number (9550765224).

Almost surely, 2213325422112 is an apocalyptic number.

213325422112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213325422112 is an abundant number, since it is smaller than the sum of its proper divisors (245111308640).

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

213325422112 is a wasteful number, since it uses less digits than its factorization.

213325422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359681 (or 359673 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

Adding to 213325422112 its reverse (211224523312), we get a palindrome (424549945424).

The spelling of 213325422112 in words is "two hundred thirteen billion, three hundred twenty-five million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1693 3386 6772 13544 18623 27088 37246 54176 74492 148984 297968 357967 595936 715934 1431868 2863736 3937637 5727472 7875274 11454944 15750548 31501096 63002192 126004384 606038131 1212076262 2424152524 4848305048 6666419441 9696610096 13332838882 19393220192 26665677764 53331355528 106662711056 213325422112