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131122329 = 3133362111
BaseRepresentation
bin1111101000011…
…00010010011001
3100010201201000120
413310030102121
5232031403304
621002223453
73151343562
oct764142231
9303651016
10131122329
1168019168
1237ab4b89
132121c5a0
14135b3169
15b7a10d9
hex7d0c499

131122329 has 8 divisors (see below), whose sum is σ = 188278272. Its totient is φ = 80690640.

The previous prime is 131122297. The next prime is 131122337. The reversal of 131122329 is 923221131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131122329 - 25 = 131122297 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 131122299 and 131122308.

It is not an unprimeable number, because it can be changed into a prime (131122349) 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 7 ways as a sum of consecutive naturals, for example, 1681017 + ... + 1681094.

It is an arithmetic number, because the mean of its divisors is an integer number (23534784).

Almost surely, 2131122329 is an apocalyptic number.

It is an amenable number.

131122329 is a deficient number, since it is larger than the sum of its proper divisors (57155943).

131122329 is a wasteful number, since it uses less digits than its factorization.

131122329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362127.

The product of its digits is 648, while the sum is 24.

The square root of 131122329 is about 11450.8658624577. The cubic root of 131122329 is about 508.0333448362.

The spelling of 131122329 in words is "one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty-nine".

Divisors: 1 3 13 39 3362111 10086333 43707443 131122329