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196131 = 31347107
BaseRepresentation
bin101111111000100011
3100222001010
4233320203
522234011
64112003
71444545
oct577043
9328033
10196131
111243a1
1295603
136b370
1451695
153d1a6
hex2fe23

196131 has 16 divisors (see below), whose sum is σ = 290304. Its totient is φ = 117024.

The previous prime is 196117. The next prime is 196139. The reversal of 196131 is 131691.

It is a happy number.

It is not a de Polignac number, because 196131 - 27 = 196003 is a prime.

It is a super-2 number, since 2×1961312 = 76934738322, which contains 22 as substring.

196131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 196098 and 196107.

It is not an unprimeable number, because it can be changed into a prime (196139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780 + ... + 1886.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2196131 is an apocalyptic number.

196131 is a deficient number, since it is larger than the sum of its proper divisors (94173).

196131 is a wasteful number, since it uses less digits than its factorization.

196131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its digits is 162, while the sum is 21.

The square root of 196131 is about 442.8667971298. The cubic root of 196131 is about 58.1007957959.

The spelling of 196131 in words is "one hundred ninety-six thousand, one hundred thirty-one".

Divisors: 1 3 13 39 47 107 141 321 611 1391 1833 4173 5029 15087 65377 196131