Search a number
-
+
122330152422153 = 32131756959511461
BaseRepresentation
bin11011110100001000110101…
…010001111100101100001001
3121001010122111122122122220200
4123310020311101330230021
5112013224123010002103
61112101410214042413
734524030134032104
oct3364106521745411
9531118448578820
10122330152422153
1135a83a209a1345
12118784a0649409
1353348b7621250
14222cb4d42573b
15e2214bec80a3
hex6f423547cb09

122330152422153 has 24 divisors (see below), whose sum is σ = 190302182495880. Its totient is φ = 75275807708160.

The previous prime is 122330152422091. The next prime is 122330152422197. The reversal of 122330152422153 is 351224251033221.

122330152422153 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 30 + 1 + 52 + 422 + 153 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28817442403344 + 93512710018809 = 5368188^2 + 9670197^2 .

It is not a de Polignac number, because 122330152422153 - 237 = 122192713468681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122330152422253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27700158 + ... + 31811303.

It is an arithmetic number, because the mean of its divisors is an integer number (7929257603995).

Almost surely, 2122330152422153 is an apocalyptic number.

122330152422153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122330152422153 is a deficient number, since it is larger than the sum of its proper divisors (67972030073727).

122330152422153 is a wasteful number, since it uses less digits than its factorization.

122330152422153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59529049 (or 59529046 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 122330152422153 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred fifty-two million, four hundred twenty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 13 39 117 17569 52707 158121 228397 685191 2055573 59511461 178534383 535603149 773648993 2320946979 6962840937 1045556858309 3136670574927 9410011724781 13592239158017 40776717474051 122330152422153