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213301210432131 = 3273589322060831
BaseRepresentation
bin110000011111111100001110…
…111000001100001010000011
31000222020101201002200221022200
4300133330032320030022003
5210424211334332312011
62033353120123004243
762633334560446323
oct6037741670141203
91028211632627280
10213301210432131
1161a675985a0978
121bb0b253969683
1392032aa780813
143a95b95835283
15199d6c22d1856
hexc1ff0ee0c283

213301210432131 has 12 divisors (see below), whose sum is σ = 308105936149440. Its totient is φ = 142198874148240.

The previous prime is 213301210432117. The next prime is 213301210432153. The reversal of 213301210432131 is 131234012103312.

213301210432131 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 1 + 210 + 432 + 13 + 1 = 666.

It is not a de Polignac number, because 213301210432131 - 214 = 213301210415747 is a prime.

It is a super-2 number, since 2×2133012104321312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213301210432095 and 213301210432104.

It is not an unprimeable number, because it can be changed into a prime (213301210432831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160368115 + ... + 161692716.

It is an arithmetic number, because the mean of its divisors is an integer number (25675494679120).

Almost surely, 2213301210432131 is an apocalyptic number.

213301210432131 is a deficient number, since it is larger than the sum of its proper divisors (94804725717309).

213301210432131 is a wasteful number, since it uses less digits than its factorization.

213301210432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322134426 (or 322134423 counting only the distinct ones).

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

Adding to 213301210432131 its reverse (131234012103312), we get a palindrome (344535222535443).

The spelling of 213301210432131 in words is "two hundred thirteen trillion, three hundred one billion, two hundred ten million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 73589 220767 662301 322060831 966182493 2898547479 23700134492459 71100403477377 213301210432131