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13032010400 = 255216290013
BaseRepresentation
bin11000010001100010…
…01011001010100000
31020122020000201110212
430020301023022200
5203142143313100
65553053113252
7640642155263
oct141061131240
936566021425
1013032010400
115588259332
122638488828
1312c8bcba76
148b8adccda
15514176635
hex308c4b2a0

13032010400 has 36 divisors (see below), whose sum is σ = 31814397342. Its totient is φ = 5212803840.

The previous prime is 13032010367. The next prime is 13032010421. The reversal of 13032010400 is 401023031.

It can be written as a sum of positive squares in 3 ways, for example, as 10830148624 + 2201861776 = 104068^2 + 46924^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8144207 + ... + 8145806.

Almost surely, 213032010400 is an apocalyptic number.

13032010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032010400 is an abundant number, since it is smaller than the sum of its proper divisors (18782386942).

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

13032010400 is a wasteful number, since it uses less digits than its factorization.

13032010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16290033 (or 16290020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13032010400 its reverse (401023031), we get a palindrome (13433033431).

The spelling of 13032010400 in words is "thirteen billion, thirty-two million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16290013 32580026 65160052 81450065 130320104 162900130 260640208 325800260 407250325 521280416 651600520 814500650 1303201040 1629001300 2606402080 3258002600 6516005200 13032010400