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13130054625120 = 2535207191320251
BaseRepresentation
bin1011111100010001010000…
…1111011110011101100000
31201111012222002020000110220
42333010110033132131200
53210110322441000440
643531510330323040
72523420664565556
oct277042417363540
951435862200426
1013130054625120
114202474599554
121580838889480
1374320ac775b4
143356d886dbd6
1517b8221da8d0
hexbf1143de760

13130054625120 has 96 divisors (see below), whose sum is σ = 41361699617280. Its totient is φ = 3501176256000.

The previous prime is 13130054625053. The next prime is 13130054625133. The reversal of 13130054625120 is 2152645003131.

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

It is a congruent number.

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, 9284995 + ... + 10605245.

It is an arithmetic number, because the mean of its divisors is an integer number (430851037680).

Almost surely, 213130054625120 is an apocalyptic number.

13130054625120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130054625120 is an abundant number, since it is smaller than the sum of its proper divisors (28231644992160).

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

13130054625120 is a wasteful number, since it uses less digits than its factorization.

13130054625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340988 (or 1340980 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 13130054625120 its reverse (2152645003131), we get a palindrome (15282699628251).

The spelling of 13130054625120 in words is "thirteen trillion, one hundred thirty billion, fifty-four million, six hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20719 41438 62157 82876 103595 124314 165752 207190 248628 310785 331504 414380 497256 621570 663008 828760 994512 1243140 1320251 1657520 1989024 2486280 2640502 3315040 3960753 4972560 5281004 6601255 7921506 9945120 10562008 13202510 15843012 19803765 21124016 26405020 31686024 39607530 42248032 52810040 63372048 79215060 105620080 126744096 158430120 211240160 316860240 633720480 27354280469 54708560938 82062841407 109417121876 136771402345 164125682814 218834243752 273542804690 328251365628 410314207035 437668487504 547085609380 656502731256 820628414070 875336975008 1094171218760 1313005462512 1641256828140 2188342437520 2626010925024 3282513656280 4376684875040 6565027312560 13130054625120