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123113162241 = 3213679240249
BaseRepresentation
bin111001010101000011…
…1011100011000000001
3102202202222010122020200
41302222013130120001
54004113432142431
6132320222155413
711615600420106
oct1625207343001
9382688118220
10123113162241
1148237196a83
121ba3a422b69
13b7c01703c4
145d5c9a8aad
15330844dee6
hex1caa1dc601

123113162241 has 6 divisors (see below), whose sum is σ = 177830123250. Its totient is φ = 82075441488.

The previous prime is 123113162239. The next prime is 123113162251. The reversal of 123113162241 is 142261311321.

123113162241 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 31 + 622 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87213902400 + 35899259841 = 295320^2 + 189471^2 .

It is not a de Polignac number, because 123113162241 - 21 = 123113162239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123113162251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6839620116 + ... + 6839620133.

It is an arithmetic number, because the mean of its divisors is an integer number (29638353875).

Almost surely, 2123113162241 is an apocalyptic number.

It is an amenable number.

123113162241 is a deficient number, since it is larger than the sum of its proper divisors (54716961009).

123113162241 is a wasteful number, since it uses less digits than its factorization.

123113162241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13679240255 (or 13679240252 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 123113162241 its reverse (142261311321), we get a palindrome (265374473562).

The spelling of 123113162241 in words is "one hundred twenty-three billion, one hundred thirteen million, one hundred sixty-two thousand, two hundred forty-one".

Divisors: 1 3 9 13679240249 41037720747 123113162241