Search a number
-
+
120531322161 = 334464123043
BaseRepresentation
bin111000001000000111…
…0100000010100110001
3102112010000221120111000
41300100032200110301
53433322004302121
6131212112312213
711464610222415
oct1602016402461
9375100846430
10120531322161
1147131875348
121b439842669
13b49b2b8193
145b95b32d45
153206959526
hex1c103a0531

120531322161 has 8 divisors (see below), whose sum is σ = 178564921760. Its totient is φ = 80354214756.

The previous prime is 120531322159. The next prime is 120531322189. The reversal of 120531322161 is 161223135021.

120531322161 is a `hidden beast` number, since 1 + 20 + 531 + 32 + 21 + 61 = 666.

It is not a de Polignac number, because 120531322161 - 21 = 120531322159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4464123043 = 120531322161 / (1 + 2 + 0 + 5 + 3 + 1 + 3 + 2 + 2 + 1 + 6 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120531332161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2232061495 + ... + 2232061548.

It is an arithmetic number, because the mean of its divisors is an integer number (22320615220).

Almost surely, 2120531322161 is an apocalyptic number.

It is an amenable number.

120531322161 is a deficient number, since it is larger than the sum of its proper divisors (58033599599).

120531322161 is an equidigital number, since it uses as much as digits as its factorization.

120531322161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464123052 (or 4464123046 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 120531322161 its reverse (161223135021), we get a palindrome (281754457182).

The spelling of 120531322161 in words is "one hundred twenty billion, five hundred thirty-one million, three hundred twenty-two thousand, one hundred sixty-one".

Divisors: 1 3 9 27 4464123043 13392369129 40177107387 120531322161