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113013100020 = 223513114378257
BaseRepresentation
bin110100101000000011…
…0110000110111110100
3101210201002002022120010
41221100012300313310
53322422323200040
6123530102540220
711110366333422
oct1512006606764
9353632068503
10113013100020
1143a23a48817
1219a9ba37670
13a87081a022
14568143a112
152e168c7e80
hex1a501b0df4

113013100020 has 48 divisors (see below), whose sum is σ = 318852249408. Its totient is φ = 29906772480.

The previous prime is 113013099971. The next prime is 113013100037. The reversal of 113013100020 is 20001310311.

It is a super-2 number, since 2×1130131000202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113013099969 and 113013100005.

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 15 ways as a sum of consecutive naturals, for example, 7181269 + ... + 7196988.

It is an arithmetic number, because the mean of its divisors is an integer number (6642755196).

Almost surely, 2113013100020 is an apocalyptic number.

113013100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113013100020 is an abundant number, since it is smaller than the sum of its proper divisors (205839149388).

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

113013100020 is a wasteful number, since it uses less digits than its factorization.

113013100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14378400 (or 14378398 counting only the distinct ones).

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

Adding to 113013100020 its reverse (20001310311), we get a palindrome (133014410331).

The spelling of 113013100020 in words is "one hundred thirteen billion, thirteen million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 14378257 28756514 43134771 57513028 71891285 86269542 143782570 172539084 215673855 287565140 431347710 862695420 1883551667 3767103334 5650655001 7534206668 9417758335 11301310002 18835516670 22602620004 28253275005 37671033340 56506550010 113013100020