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131461253 = 7115332213
BaseRepresentation
bin1111101010111…
…11000010000101
3100011100220221022
413311133002011
5232123230003
621013400525
73154254650
oct765370205
9304326838
10131461253
116822a870
1238039145
132130a931
1413660897
15b81b738
hex7d5f085

131461253 has 16 divisors (see below), whose sum is σ = 166997376. Its totient is φ = 100501440.

The previous prime is 131461237. The next prime is 131461271. The reversal of 131461253 is 352164131.

It is a cyclic number.

It is not a de Polignac number, because 131461253 - 24 = 131461237 is a prime.

It is a super-2 number, since 2×1314612532 = 34564122080660018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131461273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12026 + ... + 20187.

It is an arithmetic number, because the mean of its divisors is an integer number (10437336).

Almost surely, 2131461253 is an apocalyptic number.

It is an amenable number.

131461253 is a deficient number, since it is larger than the sum of its proper divisors (35536123).

131461253 is a wasteful number, since it uses less digits than its factorization.

131461253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32284.

The product of its digits is 2160, while the sum is 26.

The square root of 131461253 is about 11465.6553672261. The cubic root of 131461253 is about 508.4706884818.

The spelling of 131461253 in words is "one hundred thirty-one million, four hundred sixty-one thousand, two hundred fifty-three".

Divisors: 1 7 11 53 77 371 583 4081 32213 225491 354343 1707289 2480401 11951023 18780179 131461253