Search a number
-
+
123120100131 = 3779719933691
BaseRepresentation
bin111001010101010000…
…1111010001100100011
3102202210110012010020120
41302222201322030203
54004122221201011
6132321031011323
711616013404150
oct1625241721443
9382713163216
10123120100131
11482400a5576
121ba40809b43
13b7c172c272
145d5d893227
153308d6ea06
hex1caa87a323

123120100131 has 32 divisors (see below), whose sum is σ = 187992150528. Its totient is φ = 70211784960.

The previous prime is 123120100057. The next prime is 123120100157. The reversal of 123120100131 is 131001021321.

It is a happy number.

It is not a de Polignac number, because 123120100131 - 221 = 123118002979 is a prime.

It is a super-2 number, since 2×1231201001312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123120100131.

It is not an unprimeable number, because it can be changed into a prime (123120100531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33354996 + ... + 33358686.

It is an arithmetic number, because the mean of its divisors is an integer number (5874754704).

Almost surely, 2123120100131 is an apocalyptic number.

123120100131 is a deficient number, since it is larger than the sum of its proper divisors (64872050397).

123120100131 is a wasteful number, since it uses less digits than its factorization.

123120100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123120100131 its reverse (131001021321), we get a palindrome (254121121452).

The spelling of 123120100131 in words is "one hundred twenty-three billion, one hundred twenty million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 7 21 797 1993 2391 3691 5579 5979 11073 13951 16737 25837 41853 77511 1588421 2941727 4765263 7356163 8825181 11118947 20592089 22068489 33356841 51493141 61776267 154479423 5862861911 17588585733 41040033377 123120100131