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123132231321 = 3114019304937
BaseRepresentation
bin111001010101101000…
…0001011111010011001
3102202211022000110002220
41302223100023322121
54004133322400241
6132322143014253
711616221461101
oct1625320137231
9382738013086
10123132231321
1148246a30950
121ba4489a389
13b7c40b8b98
145d61330201
153309e69166
hex1cab40be99

123132231321 has 16 divisors (see below), whose sum is σ = 179548083648. Its totient is φ = 74439488000.

The previous prime is 123132231283. The next prime is 123132231337.

123132231321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123132231321 - 210 = 123132230297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123132231291 and 123132231300.

It is not an unprimeable number, because it can be changed into a prime (123132231121) 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 15 ways as a sum of consecutive naturals, for example, 4639236 + ... + 4665701.

It is an arithmetic number, because the mean of its divisors is an integer number (11221755228).

Almost surely, 2123132231321 is an apocalyptic number.

123132231321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123132231321 is a deficient number, since it is larger than the sum of its proper divisors (56415852327).

123132231321 is a wasteful number, since it uses less digits than its factorization.

123132231321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305352.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 123132 and 231321, that added together give a palindrome (354453).

The spelling of 123132231321 in words is "one hundred twenty-three billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 401 1203 4411 13233 9304937 27914811 102354307 307062921 3731279737 11193839211 41044077107 123132231321