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123310133203231 = 1321997434934807
BaseRepresentation
bin11100000010011001100000…
…101011111101000100011111
3121011121100000012101101202001
4130002121200223331010133
5112130303123100000411
61114131520531143131
734654602024160312
oct3402314053750437
9534540005341661
10123310133203231
1136321596560807
12119b63b6144aa7
1353a6132243400
142264356bc2979
15e3c8a5e78dc1
hex702660afd11f

123310133203231 has 24 divisors (see below), whose sum is σ = 134376795763200. Its totient is φ = 113100305494176.

The previous prime is 123310133203217. The next prime is 123310133203249. The reversal of 123310133203231 is 132302331013321.

It is a happy number.

It is not a de Polignac number, because 123310133203231 - 215 = 123310133170463 is a prime.

It is a super-2 number, since 2×1233101332032312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123310133203231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123310133203531) 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 23 ways as a sum of consecutive naturals, for example, 22520430 + ... + 27455236.

It is an arithmetic number, because the mean of its divisors is an integer number (5599033156800).

Almost surely, 2123310133203231 is an apocalyptic number.

123310133203231 is a deficient number, since it is larger than the sum of its proper divisors (11066662559969).

123310133203231 is a wasteful number, since it uses less digits than its factorization.

123310133203231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935775 (or 4935762 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 123310133203231 its reverse (132302331013321), we get a palindrome (255612464216552).

The spelling of 123310133203231 in words is "one hundred twenty-three trillion, three hundred ten billion, one hundred thirty-three million, two hundred three thousand, two hundred thirty-one".

Divisors: 1 13 169 199 743 2587 9659 33631 125567 147857 1922141 4934807 24987833 64152491 833982383 982026593 3666561601 12766345709 47665300813 165962494217 619648910569 729645758599 9485394861787 123310133203231