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213112030131 = 33711137885153
BaseRepresentation
bin1100011001111001110…
…1111000001110110011
3202101002010212211102000
43012132131320032303
511442423134431011
6241522522225043
721253054240050
oct3063635701663
9671063784360
10213112030131
1182420204540
1235376955183
13171339872a0
14a459690027
155824655356
hex319e7783b3

213112030131 has 64 divisors (see below), whose sum is σ = 423905879040. Its totient is φ = 102191569920.

The previous prime is 213112030067. The next prime is 213112030133. The reversal of 213112030131 is 131030211312.

213112030131 is a `hidden beast` number, since 2 + 1 + 311 + 20 + 301 + 31 = 666.

It is not a de Polignac number, because 213112030131 - 26 = 213112030067 is a prime.

It is a super-2 number, since 2×2131120301312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213112030133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3915550 + ... + 3969603.

It is an arithmetic number, because the mean of its divisors is an integer number (6623529360).

Almost surely, 2213112030131 is an apocalyptic number.

213112030131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213112030131 is a deficient number, since it is larger than the sum of its proper divisors (210793848909).

213112030131 is a wasteful number, since it uses less digits than its factorization.

213112030131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885193 (or 7885187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213112030131 its reverse (131030211312), we get a palindrome (344142241443).

The spelling of 213112030131 in words is "two hundred thirteen billion, one hundred twelve million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2457 3003 3861 9009 27027 7885153 23655459 55196071 70966377 86736683 102506989 165588213 212899131 260210049 307520967 496764639 607156781 717548923 780630147 922562901 1127576879 1490293917 1821470343 2152646769 2341890441 2767688703 3382730637 5464411029 6457940307 7893038153 10148191911 16393233087 19373820921 23679114459 30444575733 71037343377 213112030131