Search a number
-
+
107150823324 = 2233992137253
BaseRepresentation
bin110001111001010101…
…1111100111110011100
3101020120112011210202000
41203302223330332130
53223421102321244
6121120250002300
710512203653626
oct1436253747634
9336515153660
10107150823324
1141495934546
1218924716390
13a14814224c
145286a3bc16
152bc1de7169
hex18f2afcf9c

107150823324 has 24 divisors (see below), whose sum is σ = 277798431120. Its totient is φ = 35716941072.

The previous prime is 107150823317. The next prime is 107150823347. The reversal of 107150823324 is 423328051701.

107150823324 is a `hidden beast` number, since 107 + 1 + 508 + 23 + 3 + 24 = 666.

It is a super-2 number, since 2×1071508233242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496068519 + ... + 496068734.

It is an arithmetic number, because the mean of its divisors is an integer number (11574934630).

Almost surely, 2107150823324 is an apocalyptic number.

It is an amenable number.

107150823324 is an abundant number, since it is smaller than the sum of its proper divisors (170647607796).

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

107150823324 is a wasteful number, since it uses less digits than its factorization.

107150823324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992137266 (or 992137258 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 107150823324 in words is "one hundred seven billion, one hundred fifty million, eight hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 992137253 1984274506 2976411759 3968549012 5952823518 8929235277 11905647036 17858470554 26787705831 35716941108 53575411662 107150823324