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123031130321 = 1121759810953
BaseRepresentation
bin111001010010100111…
…0100001000011010001
3102202120020202222121102
41302211032201003101
54003431432132241
6132304132034145
711613553232021
oct1624516410321
9382506688542
10123031130321
11481a4958200
121ba16a62955
13b7a917b1c8
145d51b33a81
15330114839b
hex1ca53a10d1

123031130321 has 12 divisors (see below), whose sum is σ = 143187423876. Its totient is φ = 105267275520.

The previous prime is 123031130297. The next prime is 123031130323.

123031130321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 114964396096 + 8066734225 = 339064^2 + 89815^2 .

It is a de Polignac number, because none of the positive numbers 2k-123031130321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123031130293 and 123031130302.

It is not an unprimeable number, because it can be changed into a prime (123031130323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29903420 + ... + 29907533.

It is an arithmetic number, because the mean of its divisors is an integer number (11932285323).

Almost surely, 2123031130321 is an apocalyptic number.

123031130321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123031130321 is a deficient number, since it is larger than the sum of its proper divisors (20156293555).

123031130321 is a wasteful number, since it uses less digits than its factorization.

123031130321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59810992 (or 59810981 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 123031 and 130321, that added together give a palindrome (253352).

The spelling of 123031130321 in words is "one hundred twenty-three billion, thirty-one million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 11 17 121 187 2057 59810953 657920483 1016786201 7237125313 11184648211 123031130321