Search a number
-
+
120100200993 = 3259226177403
BaseRepresentation
bin110111111011010000…
…1111010001000100001
3102110222222201100102100
41233312201322020201
53431431122412433
6131101232041013
711451123602403
oct1576641721041
9373888640370
10120100200993
1146a30483663
121b339393169
13b42cb9b4b6
145b5478ab73
1531cdb99b13
hex1bf687a221

120100200993 has 12 divisors (see below), whose sum is σ = 176418375120. Its totient is φ = 78709735896.

The previous prime is 120100200977. The next prime is 120100201043. The reversal of 120100200993 is 399002001021.

It is not a de Polignac number, because 120100200993 - 24 = 120100200977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120100200943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113088171 + ... + 113089232.

It is an arithmetic number, because the mean of its divisors is an integer number (14701531260).

Almost surely, 2120100200993 is an apocalyptic number.

It is an amenable number.

120100200993 is a deficient number, since it is larger than the sum of its proper divisors (56318174127).

120100200993 is a wasteful number, since it uses less digits than its factorization.

120100200993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226177468 (or 226177465 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 120100200993 in words is "one hundred twenty billion, one hundred million, two hundred thousand, nine hundred ninety-three".

Divisors: 1 3 9 59 177 531 226177403 678532209 2035596627 13344466777 40033400331 120100200993