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103031102210013 = 37731374710599
BaseRepresentation
bin10111011011010011001100…
…001111110111111111011101
3111111210200021122212210000000
4113123103030033313333131
5102001030144131210023
61003043500202324513
730462515521624425
oct2733231417677735
9444720248783000
10103031102210013
112a91327720064a
12b68014b7b9739
134564a394b37c3
141b62a366a9485
15bda11e7ad243
hex5db4cc3f7fdd

103031102210013 has 64 divisors (see below), whose sum is σ = 157783242816000. Its totient is φ = 67251964048128.

The previous prime is 103031102209979. The next prime is 103031102210021. The reversal of 103031102210013 is 310012201130301.

It is not a de Polignac number, because 103031102210013 - 221 = 103031100112861 is a prime.

It is a super-3 number, since 3×1030311022100133 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031102210033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19516888 + ... + 24227486.

It is an arithmetic number, because the mean of its divisors is an integer number (2465363169000).

Almost surely, 2103031102210013 is an apocalyptic number.

It is an amenable number.

103031102210013 is a deficient number, since it is larger than the sum of its proper divisors (54752140605987).

103031102210013 is an frugal number, since it uses more digits than its factorization.

103031102210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710830 (or 4710812 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103031102210013 its reverse (310012201130301), we get a palindrome (413043303340314).

The spelling of 103031102210013 in words is "one hundred three trillion, thirty-one billion, one hundred two million, two hundred ten thousand, thirteen".

Divisors: 1 3 9 27 73 81 137 219 243 411 657 729 1233 1971 2187 3699 5913 10001 11097 17739 30003 33291 53217 90009 99873 159651 270027 299619 810081 2430243 4710599 7290729 14131797 21872187 42395391 127186173 343873727 381558519 645352063 1031621181 1144675557 1936056189 3094863543 3434026671 5808168567 9284590629 10302080013 17424505701 27853771887 47110700599 52273517103 83561315661 141332101797 156820551309 250683946983 423996305391 470461653927 752051840949 1271988916173 1411384961781 3815966748519 11447900245557 34343700736671 103031102210013