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131112201 = 31137167643
BaseRepresentation
bin1111101000010…
…01110100001001
3100010201012010110
413310021310021
5232031042301
621002104533
73151302213
oct764116411
9303635113
10131112201
11680115a0
1237aab149
1321217aac
14135ad5b3
15b79d0d6
hex7d09d09

131112201 has 32 divisors (see below), whose sum is σ = 197342208. Its totient is φ = 76731840.

The previous prime is 131112199. The next prime is 131112227. The reversal of 131112201 is 102211131.

It is not a de Polignac number, because 131112201 - 21 = 131112199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131112251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203586 + ... + 204228.

It is an arithmetic number, because the mean of its divisors is an integer number (6166944).

Almost surely, 2131112201 is an apocalyptic number.

131112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131112201 is a deficient number, since it is larger than the sum of its proper divisors (66230007).

131112201 is a wasteful number, since it uses less digits than its factorization.

131112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 131112201 is about 11450.4236166179. The cubic root of 131112201 is about 508.0202641905.

Adding to 131112201 its reverse (102211131), we get a palindrome (233323332).

The spelling of 131112201 in words is "one hundred thirty-one million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 11 33 37 111 167 407 501 643 1221 1837 1929 5511 6179 7073 18537 21219 23791 67969 71373 107381 203907 261701 322143 785103 1181191 3543573 3973097 11919291 43704067 131112201