Search a number
-
+
102310013012031 = 32111971766074481
BaseRepresentation
bin10111010000110011100111…
…111110111000100000111111
3111102020202000201100010021100
4113100303213332320200333
5101402221401312341111
61001332323210304143
730356440332600606
oct2720634776704077
9442222021303240
10102310013012031
112a665484146410
12b584448428053
134511a3cb00bb6
141b39b8c592a3d
15bc64b9039756
hex5d0ce7fb883f

102310013012031 has 48 divisors (see below), whose sum is σ = 172090971636480. Its totient is φ = 57915230688000.

The previous prime is 102310013012029. The next prime is 102310013012033. The reversal of 102310013012031 is 130210310013201.

102310013012031 is a `hidden beast` number, since 1 + 0 + 2 + 310 + 0 + 1 + 301 + 20 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (102310013012029) and next prime (102310013012033).

It is not a de Polignac number, because 102310013012031 - 21 = 102310013012029 is a prime.

It is a super-2 number, since 2×1023100130120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102310013011995 and 102310013012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102310013012033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382903690 + ... + 383170791.

It is an arithmetic number, because the mean of its divisors is an integer number (3585228575760).

Almost surely, 2102310013012031 is an apocalyptic number.

102310013012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102310013012031 is a deficient number, since it is larger than the sum of its proper divisors (69780958624449).

102310013012031 is a wasteful number, since it uses less digits than its factorization.

102310013012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766074588 (or 766074585 counting only the distinct ones).

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

Adding to 102310013012031 its reverse (130210310013201), we get a palindrome (232520323025232).

The spelling of 102310013012031 in words is "one hundred two trillion, three hundred ten billion, thirteen million, twelve thousand, thirty-one".

Divisors: 1 3 9 11 19 33 57 71 99 171 209 213 627 639 781 1349 1881 2343 4047 7029 12141 14839 44517 133551 766074481 2298223443 6894670329 8426819291 14555415139 25280457873 43666245417 54391288151 75841373619 130998736251 160109566529 163173864453 480328699587 489521593359 598304169661 1033434474869 1440986098761 1794912508983 3100303424607 5384737526949 9300910273821 11367779223559 34103337670677 102310013012031