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213122133231 = 37471012137913
BaseRepresentation
bin1100011001111100010…
…0011010110011101111
3202101002211220010020220
43012133010122303233
511442433231230411
6241523522542423
721253236146130
oct3063704326357
9671084803226
10213122133231
1182425985107
123537a207a13
1317135ab3a57
14a45ab5dc87
15582549db06
hex319f11acef

213122133231 has 32 divisors (see below), whose sum is σ = 334951262208. Its totient is φ = 118012742400.

The previous prime is 213122133229. The next prime is 213122133253. The reversal of 213122133231 is 132331221312.

It is not a de Polignac number, because 213122133231 - 21 = 213122133229 is a prime.

It is a super-2 number, since 2×2131221332312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122133281) 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, 969270 + ... + 1168643.

It is an arithmetic number, because the mean of its divisors is an integer number (10467226944).

Almost surely, 2213122133231 is an apocalyptic number.

213122133231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213122133231 is a deficient number, since it is larger than the sum of its proper divisors (121829128977).

213122133231 is a wasteful number, since it uses less digits than its factorization.

213122133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138071.

The product of its digits is 1296, while the sum is 24.

Adding to 213122133231 its reverse (132331221312), we get a palindrome (345453354543).

The spelling of 213122133231 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 21 47 101 141 303 329 707 987 2121 4747 14241 33229 99687 2137913 6413739 14965391 44896173 100481911 215929213 301445733 647787639 703373377 1511504491 2110120131 4534513473 10148673011 30446019033 71040711077 213122133231