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123203122333213 = 1317896263822377
BaseRepresentation
bin11100000000110101110110…
…010101111000011000011101
3121011020002210102112221211211
4130000311312111320120131
5112122024443304130323
61114010422200544421
734644063136610446
oct3400656625703035
9534202712487754
10123203122333213
113629017272725a
1211999710482111
13539900a0c3190
14225d0c49b62cd
15e39be14c970d
hex700d7657861d

123203122333213 has 16 divisors (see below), whose sum is σ = 142063491533040. Its totient is φ = 105833542864896.

The previous prime is 123203122333171. The next prime is 123203122333219. The reversal of 123203122333213 is 312333221302321.

It can be written as a sum of positive squares in 8 ways, for example, as 2727429129049 + 120475693204164 = 1651493^2 + 10976142^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123203122333213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123203122333219) 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, 3131891520 + ... + 3131930857.

It is an arithmetic number, because the mean of its divisors is an integer number (8878968220815).

Almost surely, 2123203122333213 is an apocalyptic number.

123203122333213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123203122333213 is a deficient number, since it is larger than the sum of its proper divisors (18860369199827).

123203122333213 is a wasteful number, since it uses less digits than its factorization.

123203122333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263822496.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 123203122333213 its reverse (312333221302321), we get a palindrome (435536343635534).

The spelling of 123203122333213 in words is "one hundred twenty-three trillion, two hundred three billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 13 17 89 221 1157 1513 19669 6263822377 81429690901 106484980409 557480191553 1384304745317 7247242490189 9477163256401 123203122333213