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13010231200 = 255216262789
BaseRepresentation
bin11000001110111100…
…00101111110100000
31020120201001020000211
430013132011332200
5203121104344300
65550554223504
7640256066131
oct140736057640
936521036024
1013010231200
115576a3329a
122631124b94
1312c4544875
148b5c6dc88
155122c34ba
hex307785fa0

13010231200 has 36 divisors (see below), whose sum is σ = 31761228870. Its totient is φ = 5204092160.

The previous prime is 13010231173. The next prime is 13010231237. The reversal of 13010231200 is 213201031.

13010231200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4764864784 + 8245366416 = 69028^2 + 90804^2 .

It is a super-2 number, since 2×130102312002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8130595 + ... + 8132194.

Almost surely, 213010231200 is an apocalyptic number.

13010231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010231200 is an abundant number, since it is smaller than the sum of its proper divisors (18750997670).

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

13010231200 is a wasteful number, since it uses less digits than its factorization.

13010231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16262809 (or 16262796 counting only the distinct ones).

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

Adding to 13010231200 its reverse (213201031), we get a palindrome (13223432231).

The spelling of 13010231200 in words is "thirteen billion, ten million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16262789 32525578 65051156 81313945 130102312 162627890 260204624 325255780 406569725 520409248 650511560 813139450 1301023120 1626278900 2602046240 3252557800 6505115600 13010231200