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123321101311199 = 11191129674526597
BaseRepresentation
bin11100000010100011101110…
…011011111101110011011111
3121011122101022120211000100002
4130002203232123331303133
5112130443103413424244
61114140533135524515
734655440565434421
oct3402435633756337
9534571276730302
10123321101311199
1136326204796650
12119b855738973b
1353a718c68281c
142264ab7750811
15e3cce8d18a4e
hex7028ee6fdcdf

123321101311199 has 16 divisors (see below), whose sum is σ = 135246926278656. Its totient is φ = 111514503098400.

The previous prime is 123321101311169. The next prime is 123321101311201. The reversal of 123321101311199 is 991113101123321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123321101311199 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 (123321101311169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24980369 + ... + 29506965.

It is an arithmetic number, because the mean of its divisors is an integer number (8452932892416).

Almost surely, 2123321101311199 is an apocalyptic number.

123321101311199 is a deficient number, since it is larger than the sum of its proper divisors (11925824967457).

123321101311199 is a wasteful number, since it uses less digits than its factorization.

123321101311199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539766.

The product of its (nonzero) digits is 8748, while the sum is 38.

The spelling of 123321101311199 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, one hundred one million, three hundred eleven thousand, one hundred ninety-nine".

Divisors: 1 11 191 2101 12967 142637 2476697 4526597 27243667 49792567 864580027 9510380297 58696383299 645660216289 11211009210109 123321101311199