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13112350400 = 265221793761
BaseRepresentation
bin11000011011000111…
…01001011011000000
31020211211012102020102
430031203221123000
5203323230203100
610005043101532
7642636065552
oct141543513300
936754172212
1013112350400
115619641a26
12265b3718a8
13130c74ab26
148c56534d2
1551b245cd5
hex30d8e96c0

13112350400 has 84 divisors (see below), whose sum is σ = 32287966920. Its totient is φ = 5241139200.

The previous prime is 13112350399. The next prime is 13112350403. The reversal of 13112350400 is 405321131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13112350403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3484520 + ... + 3488280.

Almost surely, 213112350400 is an apocalyptic number.

13112350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16143983460).

13112350400 is an abundant number, since it is smaller than the sum of its proper divisors (19175616520).

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

13112350400 is a wasteful number, since it uses less digits than its factorization.

13112350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13112350400 its reverse (405321131), we get a palindrome (13517671531).

The spelling of 13112350400 in words is "thirteen billion, one hundred twelve million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2179 3761 4358 7522 8716 10895 15044 17432 18805 21790 30088 34864 37610 43580 54475 60176 69728 75220 87160 94025 108950 120352 139456 150440 174320 188050 217900 240704 300880 348640 376100 435800 601760 697280 752200 871600 1203520 1504400 1743200 3008800 3486400 6017600 8195219 16390438 32780876 40976095 65561752 81952190 131123504 163904380 204880475 262247008 327808760 409760950 524494016 655617520 819521900 1311235040 1639043800 2622470080 3278087600 6556175200 13112350400