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122131213 = 1718013989
BaseRepresentation
bin1110100011110…
…01001100001101
322111210220112021
413101321030031
5222231144323
620041410141
73012045451
oct721711415
9274726467
10122131213
1162a37a96
1234a99951
131c3c1cb9
1412312661
15aac705d
hex747930d

122131213 has 8 divisors (see below), whose sum is σ = 129419640. Its totient is φ = 114854400.

The previous prime is 122131199. The next prime is 122131237. The reversal of 122131213 is 312131221.

It can be written as a sum of positive squares in 4 ways, for example, as 11923209 + 110208004 = 3453^2 + 10498^2 .

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 122131213 - 25 = 122131181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131313) 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, 28623 + ... + 32611.

It is an arithmetic number, because the mean of its divisors is an integer number (16177455).

Almost surely, 2122131213 is an apocalyptic number.

It is an amenable number.

122131213 is a deficient number, since it is larger than the sum of its proper divisors (7288427).

122131213 is a wasteful number, since it uses less digits than its factorization.

122131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807.

The product of its digits is 72, while the sum is 16.

The square root of 122131213 is about 11051.2991543981. The cubic root of 122131213 is about 496.1453097602.

Adding to 122131213 its reverse (312131221), we get a palindrome (434262434).

The spelling of 122131213 in words is "one hundred twenty-two million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 17 1801 3989 30617 67813 7184189 122131213