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122132129 = 7101227761
BaseRepresentation
bin1110100011110…
…01011010100001
322111210221210012
413101321122201
5222231212004
620041414305
73012051230
oct721713241
9274727705
10122132129
1162a38749
1234a9a395
131c3c2542
1412312b17
15aac746e
hex74796a1

122132129 has 16 divisors (see below), whose sum is σ = 141768576. Its totient is φ = 103056000.

The previous prime is 122132123. The next prime is 122132161. The reversal of 122132129 is 921231221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122132129 - 224 = 105354913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122132123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160109 + ... + 160869.

It is an arithmetic number, because the mean of its divisors is an integer number (8860536).

Almost surely, 2122132129 is an apocalyptic number.

It is an amenable number.

122132129 is a deficient number, since it is larger than the sum of its proper divisors (19636447).

122132129 is a wasteful number, since it uses less digits than its factorization.

122132129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096.

The product of its digits is 432, while the sum is 23.

The square root of 122132129 is about 11051.3405974117. The cubic root of 122132129 is about 496.1465501419.

The spelling of 122132129 in words is "one hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 7 101 227 707 761 1589 5327 22927 76861 160489 172747 538027 1209229 17447447 122132129