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13131220000 = 2554656561
BaseRepresentation
bin11000011101010111…
…01000010000100000
31020220010201002110111
430032223220100200
5203343043020000
610010555341104
7643255346143
oct141653502040
936803632414
1013131220000
11562925aa38
122665751794
131313626882
148c7d6605a
1551cc21cba
hex30eae8420

13131220000 has 60 divisors (see below), whose sum is σ = 32304820086. Its totient is φ = 5252480000.

The previous prime is 13131219967. The next prime is 13131220027. The reversal of 13131220000 is 2213131.

It can be written as a sum of positive squares in 5 ways, for example, as 283450896 + 12847769104 = 16836^2 + 113348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 308281 + ... + 348280.

Almost surely, 213131220000 is an apocalyptic number.

13131220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131220000 is an abundant number, since it is smaller than the sum of its proper divisors (19173600086).

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

13131220000 is an frugal number, since it uses more digits than its factorization.

13131220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656591 (or 656568 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13131220000 its reverse (2213131), we get a palindrome (13133433131).

The spelling of 13131220000 in words is "thirteen billion, one hundred thirty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 656561 1313122 2626244 3282805 5252488 6565610 10504976 13131220 16414025 21009952 26262440 32828050 52524880 65656100 82070125 105049760 131312200 164140250 262624400 328280500 410350625 525248800 656561000 820701250 1313122000 1641402500 2626244000 3282805000 6565610000 13131220000