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123131213 = 2310750033
BaseRepresentation
bin1110101011011…
…01010101001101
322120200201021022
413111231111031
5223010144323
620115043525
73023412062
oct725552515
9276621238
10123131213
1163560337
12352a05a5
131c68220a
14124d2c69
15ac234c8
hex756d54d

123131213 has 8 divisors (see below), whose sum is σ = 129688128. Its totient is φ = 116674624.

The previous prime is 123131207. The next prime is 123131219. The reversal of 123131213 is 312131321.

It is an interprime number because it is at equal distance from previous prime (123131207) and next prime (123131219).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123131213 - 28 = 123130957 is a prime.

It is a super-2 number, since 2×1231312132 = 30322591229702738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123131191 and 123131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22556 + ... + 27477.

It is an arithmetic number, because the mean of its divisors is an integer number (16211016).

Almost surely, 2123131213 is an apocalyptic number.

It is an amenable number.

123131213 is a deficient number, since it is larger than the sum of its proper divisors (6556915).

123131213 is a wasteful number, since it uses less digits than its factorization.

123131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50163.

The product of its digits is 108, while the sum is 17.

The square root of 123131213 is about 11096.4504685057. The cubic root of 123131213 is about 497.4957625288.

Adding to 123131213 its product of digits (108), we get a palindrome (123131321).

Adding to 123131213 its reverse (312131321), we get a palindrome (435262534).

It can be divided in two parts, 123131 and 213, that multiplied together give a triangular number (26226903 = T7242).

The spelling of 123131213 in words is "one hundred twenty-three million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 23 107 2461 50033 1150759 5353531 123131213