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122131323 = 32103131749
BaseRepresentation
bin1110100011110…
…01001101111011
322111210220200100
413101321031323
5222231200243
620041410443
73012045666
oct721711573
9274726610
10122131323
1162a38086
1234a99a23
131c3c2072
14123126dd
15aac70d3
hex747937b

122131323 has 12 divisors (see below), whose sum is σ = 178126000. Its totient is φ = 80629776.

The previous prime is 122131313. The next prime is 122131337. The reversal of 122131323 is 323131221.

It is not a de Polignac number, because 122131323 - 24 = 122131307 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122131296 and 122131305.

It is not an unprimeable number, because it can be changed into a prime (122131313) 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 11 ways as a sum of consecutive naturals, for example, 64948 + ... + 66801.

Almost surely, 2122131323 is an apocalyptic number.

122131323 is a deficient number, since it is larger than the sum of its proper divisors (55994677).

122131323 is a wasteful number, since it uses less digits than its factorization.

122131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131858 (or 131855 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 122131323 is about 11051.3041311874. The cubic root of 122131323 is about 496.1454587147.

Adding to 122131323 its reverse (323131221), we get a palindrome (445262544).

The spelling of 122131323 in words is "one hundred twenty-two million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 103 309 927 131749 395247 1185741 13570147 40710441 122131323