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123417352113 = 31123162605207
BaseRepresentation
bin111001011110000111…
…1110101011110110001
3102210120011112002022020
41302330033311132301
54010224320231423
6132410330102053
711626253120046
oct1627417653661
9383504462266
10123417352113
1148382972370
121bb0427a929
13b83b1a7303
145d8b14d1cd
153324ed94e3
hex1cbc3f57b1

123417352113 has 16 divisors (see below), whose sum is σ = 187321199616. Its totient is φ = 71546290640.

The previous prime is 123417352061. The next prime is 123417352129. The reversal of 123417352113 is 311253714321.

It is a happy number.

It is not a de Polignac number, because 123417352113 - 213 = 123417343921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (123417352153) 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, 81301845 + ... + 81303362.

It is an arithmetic number, because the mean of its divisors is an integer number (11707574976).

Almost surely, 2123417352113 is an apocalyptic number.

It is an amenable number.

123417352113 is a deficient number, since it is larger than the sum of its proper divisors (63903847503).

123417352113 is a wasteful number, since it uses less digits than its factorization.

123417352113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162605244.

The product of its digits is 15120, while the sum is 33.

The spelling of 123417352113 in words is "one hundred twenty-three billion, four hundred seventeen million, three hundred fifty-two thousand, one hundred thirteen".

Divisors: 1 3 11 23 33 69 253 759 162605207 487815621 1788657277 3739919761 5365971831 11219759283 41139117371 123417352113