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13131011140200 = 23325230241241229
BaseRepresentation
bin1011111100010100110101…
…0000010010101001101000
31201111022102202002000111100
42333011031100102221220
53210114302322441300
643532145300001400
72523453461045352
oct277051520225150
951438382060440
1013131011140200
114202915511488
121580a65090260
1374333119a955
143357898dc0d2
1517b87b17c700
hexbf14d412a68

13131011140200 has 144 divisors (see below), whose sum is σ = 44099953454700. Its totient is φ = 3501472665600.

The previous prime is 13131011140147. The next prime is 13131011140211. The reversal of 13131011140200 is 204111013131.

It is a happy number.

13131011140200 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 11 + 140 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 208697303556 + 12922313836644 = 456834^2 + 3594762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54313186 + ... + 54554414.

Almost surely, 213131011140200 is an apocalyptic number.

13131011140200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131011140200 is an abundant number, since it is smaller than the sum of its proper divisors (30968942314500).

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

13131011140200 is a wasteful number, since it uses less digits than its factorization.

13131011140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271492 (or 271480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13131011140200 its reverse (204111013131), we get a palindrome (13335122153331).

The spelling of 13131011140200 in words is "thirteen trillion, one hundred thirty-one billion, eleven million, one hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 30241 60482 90723 120964 151205 181446 241229 241928 272169 302410 362892 453615 482458 544338 604820 723687 725784 756025 907230 964916 1088676 1206145 1209640 1360845 1447374 1512050 1814460 1929832 2171061 2177352 2268075 2412290 2721690 2894748 3024100 3618435 3628920 4342122 4536150 4824580 5443380 5789496 6030725 6048200 6804225 7236870 8684244 9072300 9649160 10855305 10886760 12061450 13608450 14473740 17368488 18092175 18144600 21710610 24122900 27216900 28947480 36184350 43421220 48245800 54276525 54433800 72368700 86842440 108553050 144737400 217106100 434212200 7295006189 14590012378 21885018567 29180024756 36475030945 43770037134 58360049512 65655055701 72950061890 87540074268 109425092835 131310111402 145900123780 175080148536 182375154725 218850185670 262620222804 291800247560 328275278505 364750309450 437700371340 525240445608 547125464175 656550557010 729500618900 875400742680 1094250928350 1313101114020 1459001237800 1641376392525 2188501856700 2626202228040 3282752785050 4377003713400 6565505570100 13131011140200