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131378617 = 631208207
BaseRepresentation
bin1111101010010…
…10110110111001
3100011012201120201
413311022312321
5232113103432
621011522201
73153462016
oct765126671
9304181521
10131378617
1168183777
1237bb9361
13212ac136
141363c70d
15b801ee7
hex7d4adb9

131378617 has 4 divisors (see below), whose sum is σ = 131587456. Its totient is φ = 131169780.

The previous prime is 131378609. The next prime is 131378629. The reversal of 131378617 is 716873131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 131378617 - 23 = 131378609 is a prime.

It is a super-3 number, since 3×1313786173 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131378917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103473 + ... + 104734.

It is an arithmetic number, because the mean of its divisors is an integer number (32896864).

Almost surely, 2131378617 is an apocalyptic number.

It is an amenable number.

131378617 is a deficient number, since it is larger than the sum of its proper divisors (208839).

131378617 is an equidigital number, since it uses as much as digits as its factorization.

131378617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208838.

The product of its digits is 21168, while the sum is 37.

The square root of 131378617 is about 11462.0511689662. The cubic root of 131378617 is about 508.3641252929.

It can be divided in two parts, 13 and 1378617, that added together give a triangular number (1378630 = T1660).

The spelling of 131378617 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, six hundred seventeen".

Divisors: 1 631 208207 131378617