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213122297257 = 17291091396239
BaseRepresentation
bin1100011001111100010…
…1000010110110101001
3202101002212012110020221
43012133011002312221
511442433302003012
6241523530250041
721253240431262
oct3063705026651
9671085173227
10213122297257
1182425a87371
123537a286921
1317135b405cc
14a45aba3969
1558254d2507
hex319f142da9

213122297257 has 16 divisors (see below), whose sum is σ = 233654803200. Its totient is φ = 193490940160.

The previous prime is 213122297239. The next prime is 213122297273. The reversal of 213122297257 is 752792221312.

213122297257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213122297257 - 211 = 213122295209 is a prime.

It is a super-2 number, since 2×2131222972572 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213122297237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 339744 + ... + 735982.

It is an arithmetic number, because the mean of its divisors is an integer number (14603425200).

Almost surely, 2213122297257 is an apocalyptic number.

It is an amenable number.

213122297257 is a deficient number, since it is larger than the sum of its proper divisors (20532505943).

213122297257 is a wasteful number, since it uses less digits than its factorization.

213122297257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397376.

The product of its digits is 211680, while the sum is 43.

The spelling of 213122297257 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred ninety-seven thousand, two hundred fifty-seven".

Divisors: 1 17 29 493 1091 18547 31639 396239 537863 6736063 11490931 195345827 432296749 7349044733 12536605721 213122297257