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213110032131 = 351751588001
BaseRepresentation
bin1100011001111001011…
…0010000011100000011
3202101002000010022200000
43012132112100130003
511442422132012011
6241522411331043
721253031246013
oct3063626203403
9671060108600
10213110032131
118241a06a3a7
1235376150a83
1317133437a39
14a4592cdc43
1558243ad356
hex319e590703

213110032131 has 24 divisors (see below), whose sum is σ = 338004589104. Its totient is φ = 133716096000.

The previous prime is 213110032117. The next prime is 213110032153. The reversal of 213110032131 is 131230011312.

213110032131 is a `hidden beast` number, since 2 + 1 + 311 + 0 + 0 + 321 + 31 = 666.

It is not a de Polignac number, because 213110032131 - 215 = 213109999363 is a prime.

It is a super-2 number, since 2×2131100321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213110032111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25789870 + ... + 25798131.

It is an arithmetic number, because the mean of its divisors is an integer number (14083524546).

Almost surely, 2213110032131 is an apocalyptic number.

213110032131 is a deficient number, since it is larger than the sum of its proper divisors (124894556973).

213110032131 is an equidigital number, since it uses as much as digits as its factorization.

213110032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51588033 (or 51588021 counting only the distinct ones).

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

Adding to 213110032131 its reverse (131230011312), we get a palindrome (344340043443).

The spelling of 213110032131 in words is "two hundred thirteen billion, one hundred ten million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 153 243 459 1377 4131 51588001 154764003 464292009 876996017 1392876027 2630988051 4178628081 7892964153 12535884243 23678892459 71036677377 213110032131