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123312132303 = 3418312078767
BaseRepresentation
bin111001011010111111…
…0011101000011001111
3102210021211112100212020
41302311332131003033
54010020401213203
6132352050541223
711623534554543
oct1626576350317
9383254470766
10123312132303
1148329536148
121ba94b97813
13b822456979
145d7b19da23
15331ab53153
hex1cb5f9d0cf

123312132303 has 16 divisors (see below), whose sum is σ = 170455574016. Its totient is φ = 79236704960.

The previous prime is 123312132271. The next prime is 123312132367. The reversal of 123312132303 is 303231213321.

It is not a de Polignac number, because 123312132303 - 25 = 123312132271 is a prime.

It is a super-2 number, since 2×1233121323032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312122303) 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 15 ways as a sum of consecutive naturals, for example, 6029175 + ... + 6049592.

It is an arithmetic number, because the mean of its divisors is an integer number (10653473376).

Almost surely, 2123312132303 is an apocalyptic number.

123312132303 is a deficient number, since it is larger than the sum of its proper divisors (47143441713).

123312132303 is a wasteful number, since it uses less digits than its factorization.

123312132303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078894.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123312132303 its reverse (303231213321), we get a palindrome (426543345624).

The spelling of 123312132303 in words is "one hundred twenty-three billion, three hundred twelve million, one hundred thirty-two thousand, three hundred three".

Divisors: 1 3 41 83 123 249 3403 10209 12078767 36236301 495229447 1002537661 1485688341 3007612983 41104044101 123312132303