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213302212200131 = 41711094611458229
BaseRepresentation
bin110000011111111101001010…
…100101101000011011000011
31000222020111021220201000200012
4300133331022211220123003
5210424220412310401011
62033353403350215135
762633401443362615
oct6037751245503303
91028214256630605
10213302212200131
1161a67a6201200a
121bb0b4933544ab
13920340a189652
143a95c4c8c2db5
15199d730211a8b
hexc1ff4a9686c3

213302212200131 has 32 divisors (see below), whose sum is σ = 224100319766400. Its totient is φ = 202845347712000.

The previous prime is 213302212200097. The next prime is 213302212200169. The reversal of 213302212200131 is 131002212203312.

It is a cyclic number.

It is not a de Polignac number, because 213302212200131 - 234 = 213285032330947 is a prime.

It is a super-2 number, since 2×2133022122001312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213302212200097 and 213302212200106.

It is not an unprimeable number, because it can be changed into a prime (213302212206131) 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, 145545725 + ... + 147003953.

It is an arithmetic number, because the mean of its divisors is an integer number (7003134992700).

Almost surely, 2213302212200131 is an apocalyptic number.

213302212200131 is a deficient number, since it is larger than the sum of its proper divisors (10798107566269).

213302212200131 is a wasteful number, since it uses less digits than its factorization.

213302212200131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458911.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 213302212200131 its reverse (131002212203312), we get a palindrome (344304424403443).

The spelling of 213302212200131 in words is "two hundred thirteen trillion, three hundred two billion, two hundred twelve million, two hundred thousand, one hundred thirty-one".

Divisors: 1 41 71 109 461 2911 4469 7739 18901 32731 50249 317299 1341971 1458229 2060209 3567679 59787389 103534259 146274839 158946961 672243569 4244904619 6516825401 11285234231 27561986329 47729293399 73274549021 462694603471 1956901029359 3004256509861 5202492980491 213302212200131