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110000312013 = 31724319914827
BaseRepresentation
bin110011001110010000…
…1111000111011001101
3101111221002222211101010
41212130201320323031
53300240034441023
6122311120235433
710642624140054
oct1463441707315
9344832884333
10110000312013
1142718343579
121939aa6bb79
13a4b05a8c27
14547726539b
152cdc15a093
hex199c878ecd

110000312013 has 48 divisors (see below), whose sum is σ = 160237299200. Its totient is φ = 67071400704.

The previous prime is 110000312011. The next prime is 110000312041. The reversal of 110000312013 is 310213000011.

It is not a de Polignac number, because 110000312013 - 21 = 110000312011 is a prime.

It is a super-2 number, since 2×1100003120132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110000312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000312011) 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, 7411506 + ... + 7426332.

Almost surely, 2110000312013 is an apocalyptic number.

It is an amenable number.

110000312013 is a deficient number, since it is larger than the sum of its proper divisors (50236987187).

110000312013 is a wasteful number, since it uses less digits than its factorization.

110000312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15106 (or 15089 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110000312013 its reverse (310213000011), we get a palindrome (420213312024).

The spelling of 110000312013 in words is "one hundred ten billion, three hundred twelve thousand, thirteen".

Divisors: 1 3 17 43 51 129 199 289 597 731 867 2193 3383 8557 10149 12427 14827 25671 37281 44481 57511 145469 172533 252059 436407 637561 756177 1912683 2472973 2950573 4285003 7418919 8851719 10838537 12855009 32515611 50159741 126874639 150479223 184255129 380623917 552765387 852715597 2156868863 2558146791 6470606589 36666770671 110000312013