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23130213093 = 3313211312313
BaseRepresentation
bin10101100010101010…
…110000101011100101
32012200222120120101000
4111202222300223211
5334332313304333
614343104423513
71446121365411
oct254252605345
965628516330
1023130213093
11989a447499
124596317b99
132248050930
141195d05d41
15905981713
hex562ab0ae5

23130213093 has 32 divisors (see below), whose sum is σ = 37077918080. Its totient is φ = 14166472320.

The previous prime is 23130213061. The next prime is 23130213101. The reversal of 23130213093 is 39031203132.

It is not a de Polignac number, because 23130213093 - 25 = 23130213061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130213023) 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 31 ways as a sum of consecutive naturals, for example, 82096 + ... + 230217.

It is an arithmetic number, because the mean of its divisors is an integer number (1158684940).

Almost surely, 223130213093 is an apocalyptic number.

It is an amenable number.

23130213093 is a deficient number, since it is larger than the sum of its proper divisors (13947704987).

23130213093 is a wasteful number, since it uses less digits than its factorization.

23130213093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312546 (or 312540 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 23130213093 in words is "twenty-three billion, one hundred thirty million, two hundred thirteen thousand, ninety-three".

Divisors: 1 3 9 13 27 39 117 211 351 633 1899 2743 5697 8229 24687 74061 312313 936939 2810817 4060069 8432451 12180207 36540621 65898043 109621863 197694129 593082387 856674559 1779247161 2570023677 7710071031 23130213093