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13131113021200 = 2452109301172317
BaseRepresentation
bin1011111100010101001101…
…0100111011111100010000
31201111022200211210002221201
42333011103110323330100
53210120004413134300
643532203335400544
72523456136033456
oct277052324737420
951438624702851
1013131113021200
114202967a78159
121580a93223154
1374334931c675
1433579925c9d6
1517b8850a466a
hexbf15353bf10

13131113021200 has 60 divisors (see below), whose sum is σ = 31836925735780. Its totient is φ = 5204257620480.

The previous prime is 13131113021113. The next prime is 13131113021219. The reversal of 13131113021200 is 212031113131.

It can be written as a sum of positive squares in 6 ways, for example, as 1351582955776 + 11779530065424 = 1162576^2 + 3432132^2 .

It is a super-2 number, since 2×131311130212002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150542559 + ... + 150629758.

Almost surely, 213131113021200 is an apocalyptic number.

13131113021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131113021200 is an abundant number, since it is smaller than the sum of its proper divisors (18705812714580).

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

13131113021200 is a wasteful number, since it uses less digits than its factorization.

13131113021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301172444 (or 301172433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13131113021200 its reverse (212031113131), we get a palindrome (13343144134331).

The spelling of 13131113021200 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirteen million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 200 218 400 436 545 872 1090 1744 2180 2725 4360 5450 8720 10900 21800 43600 301172317 602344634 1204689268 1505861585 2409378536 3011723170 4818757072 6023446340 7529307925 12046892680 15058615850 24093785360 30117231700 32827782553 60234463400 65655565106 120468926800 131311130212 164138912765 262622260424 328277825530 525244520848 656555651060 820694563825 1313111302120 1641389127650 2626222604240 3282778255300 6565556510600 13131113021200