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100312311313 = 37127121317599
BaseRepresentation
bin101110101101100010…
…1000110011000010001
3100120220221022101211101
41131123011012120101
53120414422430223
6114025520544401
710150555402054
oct1353305063021
9316827271741
10100312311313
11395a6759225
1217536482101
1395c842b136
144bd871aa9b
15292187b4ad
hex175b146611

100312311313 has 16 divisors (see below), whose sum is σ = 103926169600. Its totient is φ = 96747327936.

The previous prime is 100312311227. The next prime is 100312311331. The reversal of 100312311313 is 313113213001.

It is a cyclic number.

It is not a de Polignac number, because 100312311313 - 29 = 100312310801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100312311373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5691088 + ... + 5708686.

It is an arithmetic number, because the mean of its divisors is an integer number (6495385600).

Almost surely, 2100312311313 is an apocalyptic number.

It is an amenable number.

100312311313 is a deficient number, since it is larger than the sum of its proper divisors (3613858287).

100312311313 is a wasteful number, since it uses less digits than its factorization.

100312311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18976.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100312311313 its reverse (313113213001), we get a palindrome (413425524314).

The spelling of 100312311313 in words is "one hundred billion, three hundred twelve million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 37 127 1213 4699 17599 44881 154051 651163 2235073 5699887 21347587 82697701 789860719 2711143549 100312311313