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131122251 = 32133792957
BaseRepresentation
bin1111101000011…
…00010001001011
3100010201200220200
413310030101023
5232031403001
621002223243
73151343421
oct764142113
9303650820
10131122251
11680190a7
1237ab4b23
132121c540
14135b3111
15b7a1086
hex7d0c44b

131122251 has 24 divisors (see below), whose sum is σ = 204575280. Its totient is φ = 80450496.

The previous prime is 131122247. The next prime is 131122259. The reversal of 131122251 is 152221131.

It is not a de Polignac number, because 131122251 - 22 = 131122247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131122259) 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 23 ways as a sum of consecutive naturals, for example, 42865 + ... + 45821.

It is an arithmetic number, because the mean of its divisors is an integer number (8523970).

Almost surely, 2131122251 is an apocalyptic number.

131122251 is a deficient number, since it is larger than the sum of its proper divisors (73453029).

131122251 is a wasteful number, since it uses less digits than its factorization.

131122251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3352 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 131122251 is about 11450.8624566012. The cubic root of 131122251 is about 508.0332440992.

Adding to 131122251 its reverse (152221131), we get a palindrome (283343382).

The spelling of 131122251 in words is "one hundred thirty-one million, one hundred twenty-two thousand, two hundred fifty-one".

Divisors: 1 3 9 13 39 117 379 1137 2957 3411 4927 8871 14781 26613 38441 44343 115323 345969 1120703 3362109 10086327 14569139 43707417 131122251