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102313011312 = 24321017034723
BaseRepresentation
bin101111101001001010…
…1001010100001110000
3100210002100222111021100
41133102111022201300
53134014112330222
6115000230524400
710251261150501
oct1372225124160
9323070874240
10102313011312
113a4330337a6
12179b4506700
139856a8bca5
144d48318ba8
1529dc32b4ac
hex17d254a870

102313011312 has 60 divisors (see below), whose sum is σ = 289169364744. Its totient is φ = 33766665600.

The previous prime is 102313011263. The next prime is 102313011329. The reversal of 102313011312 is 213110313201.

102313011312 is a `hidden beast` number, since 1 + 0 + 231 + 301 + 131 + 2 = 666.

It is a super-2 number, since 2×1023130113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3502818 + ... + 3531905.

Almost surely, 2102313011312 is an apocalyptic number.

102313011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102313011312 is an abundant number, since it is smaller than the sum of its proper divisors (186856353432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102313011312 is a wasteful number, since it uses less digits than its factorization.

102313011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034838 (or 7034829 counting only the distinct ones).

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

Adding to 102313011312 its reverse (213110313201), we get a palindrome (315423324513).

The spelling of 102313011312 in words is "one hundred two billion, three hundred thirteen million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 7034723 14069446 21104169 28138892 42208338 56277784 63312507 84416676 112555568 126625014 168833352 253250028 337666704 506500056 710507023 1013000112 1421014046 2131521069 2842028092 4263042138 5684056184 6394563207 8526084276 11368112368 12789126414 17052168552 25578252828 34104337104 51156505656 102313011312