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13201315550112 = 2531779102392929
BaseRepresentation
bin1100000000011010101110…
…1110010101001110100000
31201202000220101020002021010
43000012223232111032200
53212242243240100422
644024333423300520
72531522622502434
oct300065356251640
951660811202233
1013201315550112
11422a71251a198
121592605a4a740
13749b566c83c1
14338d38b149c4
1517d5e336db0c
hexc01abb953a0

13201315550112 has 96 divisors (see below), whose sum is σ = 37156346438400. Its totient is φ = 4089163972608.

The previous prime is 13201315550047. The next prime is 13201315550117. The reversal of 13201315550112 is 21105551310231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13201315550112.

It is not an unprimeable number, because it can be changed into a prime (13201315550117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51067537 + ... + 51325392.

It is an arithmetic number, because the mean of its divisors is an integer number (387045275400).

Almost surely, 213201315550112 is an apocalyptic number.

13201315550112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13201315550112 is an abundant number, since it is smaller than the sum of its proper divisors (23955030888288).

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

13201315550112 is a wasteful number, since it uses less digits than its factorization.

13201315550112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102393038 (or 102393030 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 13201315550112 its reverse (21105551310231), we get a palindrome (34306866860343).

The spelling of 13201315550112 in words is "thirteen trillion, two hundred one billion, three hundred fifteen million, five hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 79 96 102 136 158 204 237 272 316 408 474 544 632 816 948 1264 1343 1632 1896 2528 2686 3792 4029 5372 7584 8058 10744 16116 21488 32232 42976 64464 128928 102392929 204785858 307178787 409571716 614357574 819143432 1228715148 1638286864 1740679793 2457430296 3276573728 3481359586 4914860592 5222039379 6962719172 8089041391 9829721184 10444078758 13925438344 16178082782 20888157516 24267124173 27850876688 32356165564 41776315032 48534248346 55701753376 64712331128 83552630064 97068496692 129424662256 137513703647 167105260128 194136993384 258849324512 275027407294 388273986768 412541110941 550054814588 776547973536 825082221882 1100109629176 1650164443764 2200219258352 3300328887528 4400438516704 6600657775056 13201315550112