Search a number
-
+
122330104 = 231310710993
BaseRepresentation
bin1110100101010…
…01101111111000
322112012000100121
413102221233320
5222304030404
620045543024
73013534351
oct722515770
9275160317
10122330104
1163063466
1234b74a74
131c4616a0
1412364d28
15ab15e54
hex74a9bf8

122330104 has 32 divisors (see below), whose sum is σ = 249343920. Its totient is φ = 55927296.

The previous prime is 122330063. The next prime is 122330111. The reversal of 122330104 is 401033221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5632 + ... + 16624.

Almost surely, 2122330104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124671960).

122330104 is an abundant number, since it is smaller than the sum of its proper divisors (127013816).

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

122330104 is a wasteful number, since it uses less digits than its factorization.

122330104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119 (or 11115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122330104 is about 11060.2940286414. The cubic root of 122330104 is about 496.4144883389.

Adding to 122330104 its reverse (401033221), we get a palindrome (523363325).

The spelling of 122330104 in words is "one hundred twenty-two million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 5564 10993 11128 21986 43972 87944 142909 285818 571636 1143272 1176251 2352502 4705004 9410008 15291263 30582526 61165052 122330104