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222112310231313 = 33151179304353911
BaseRepresentation
bin110010100000001010001101…
…010110100000000100010001
31002010102201200210110022011000
4302200022031112200010101
5213103042002404400223
62104220553042412213
764533041051141265
oct6240121526400421
91063381623408130
10222112310231313
1164854335740257
1220ab2a2b361069
1396c2140b1bc48
143cbc4166880a5
151aa29b6c3d543
hexca028d5a0111

222112310231313 has 32 divisors (see below), whose sum is σ = 333084921292800. Its totient is φ = 146272489146000.

The previous prime is 222112310231269. The next prime is 222112310231341. The reversal of 222112310231313 is 313132013211222.

222112310231313 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 1 + 2 + 310 + 2 + 31 + 313 = 666.

It is not a de Polignac number, because 222112310231313 - 214 = 222112310214929 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222112310251313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151447173 + ... + 152906738.

It is an arithmetic number, because the mean of its divisors is an integer number (10408903790400).

Almost surely, 2222112310231313 is an apocalyptic number.

It is an amenable number.

222112310231313 is a deficient number, since it is larger than the sum of its proper divisors (110972611061487).

222112310231313 is a wasteful number, since it uses less digits than its factorization.

222112310231313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304354250 (or 304354244 counting only the distinct ones).

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

Adding to 222112310231313 its reverse (313132013211222), we get a palindrome (535244323442535).

The spelling of 222112310231313 in words is "two hundred twenty-two trillion, one hundred twelve billion, three hundred ten million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 151 179 453 537 1359 1611 4077 4833 27029 81087 243261 729783 304353911 913061733 2739185199 8217555597 45957440561 54479350069 137872321683 163438050207 413616965049 490314150621 1240850895147 1470942451863 8226381860419 24679145581257 74037436743771 222112310231313