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13140113111304 = 23317330931102317
BaseRepresentation
bin1011111100110110101111…
…0001100011100100001000
31201112011221002001001120020
42333031223301203210020
53210241422424030204
643540252402500440
72524225152401304
oct277155361434410
951464832031506
1013140113111304
114206766320053
121582785364720
13744151b0197a
14335db0698d04
1517bc1029cbd9
hexbf36bc63908

13140113111304 has 64 divisors (see below), whose sum is σ = 33041559925440. Its totient is φ = 4354536218880.

The previous prime is 13140113111297. The next prime is 13140113111311. The reversal of 13140113111304 is 40311131104131.

It is an interprime number because it is at equal distance from previous prime (13140113111297) and next prime (13140113111311).

It is a super-3 number, since 3×131401131113043 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128374354 + ... + 128476670.

It is an arithmetic number, because the mean of its divisors is an integer number (516274373835).

Almost surely, 213140113111304 is an apocalyptic number.

It is an amenable number.

13140113111304 is an abundant number, since it is smaller than the sum of its proper divisors (19901446814136).

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

13140113111304 is a wasteful number, since it uses less digits than its factorization.

13140113111304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133430 (or 133426 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 13140113111304 its reverse (40311131104131), we get a palindrome (53451244215435).

The spelling of 13140113111304 in words is "thirteen trillion, one hundred forty billion, one hundred thirteen million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 173 346 519 692 1038 1384 2076 4152 30931 61862 92793 102317 123724 185586 204634 247448 306951 371172 409268 613902 742344 818536 1227804 2455608 5351063 10702126 16053189 17700841 21404252 32106378 35401682 42808504 53102523 64212756 70803364 106205046 128425512 141606728 212410092 424820184 3164767127 6329534254 9494301381 12659068508 18988602762 25318137016 37977205524 75954411048 547504712971 1095009425942 1642514138913 2190018851884 3285028277826 4380037703768 6570056555652 13140113111304