Search a number
-
+
122456131 = 7432571583
BaseRepresentation
bin1110100110010…
…00100001000011
322112102102020021
413103020201003
5222322044011
620052354311
73014600650
oct723104103
9275372207
10122456131
116313a116
1235015997
131c4a6b65
1412398c27
15ab3d471
hex74c8843

122456131 has 16 divisors (see below), whose sum is σ = 143852544. Its totient is φ = 102057984.

The previous prime is 122456119. The next prime is 122456141. The reversal of 122456131 is 131654221.

It is a happy number.

It is not a de Polignac number, because 122456131 - 25 = 122456099 is a prime.

It is a super-2 number, since 2×1224561312 = 29991008038978322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122456096 and 122456105.

It is not an unprimeable number, because it can be changed into a prime (122456111) 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, 76566 + ... + 78148.

It is an arithmetic number, because the mean of its divisors is an integer number (8990784).

Almost surely, 2122456131 is an apocalyptic number.

122456131 is a deficient number, since it is larger than the sum of its proper divisors (21396413).

122456131 is a wasteful number, since it uses less digits than its factorization.

122456131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890.

The product of its digits is 1440, while the sum is 25.

The square root of 122456131 is about 11065.9898337203. The cubic root of 122456131 is about 496.5849019843.

The spelling of 122456131 in words is "one hundred twenty-two million, four hundred fifty-six thousand, one hundred thirty-one".

Divisors: 1 7 43 257 301 1583 1799 11051 11081 68069 77357 406831 476483 2847817 17493733 122456131