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122413122 = 23213240241
BaseRepresentation
bin1110100101111…
…10000001000010
322112100020020100
413102332001002
5222314204442
620051423230
73014331366
oct722760102
9275306210
10122413122
116310a877
1234bb4b16
131c490400
14123872a6
15ab3084c
hex74be042

122413122 has 36 divisors (see below), whose sum is σ = 287207154. Its totient is φ = 37664640.

The previous prime is 122413117. The next prime is 122413129. The reversal of 122413122 is 221314221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31573161 + 90839961 = 5619^2 + 9531^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122413095 and 122413104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122413129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17079 + ... + 23162.

Almost surely, 2122413122 is an apocalyptic number.

122413122 is an abundant number, since it is smaller than the sum of its proper divisors (164794032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122413122 is a wasteful number, since it uses less digits than its factorization.

122413122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40275 (or 40259 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122413122 is about 11064.0463664972. The cubic root of 122413122 is about 496.5267583842.

Adding to 122413122 its reverse (221314221), we get a palindrome (343727343).

The spelling of 122413122 in words is "one hundred twenty-two million, four hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 40241 80482 120723 241446 362169 523133 724338 1046266 1569399 3138798 4708197 6800729 9416394 13601458 20402187 40804374 61206561 122413122