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13010010320 = 245946117189
BaseRepresentation
bin11000001110111010…
…10000000011010000
31020120200122000001002
430013131100003100
5203121030312240
65550545401132
7640254156146
oct140735200320
936520560032
1013010010320
1155768a234a
1226310391a8
1312c4498178
148b5c13596
1551227cd15
hex3077500d0

13010010320 has 40 divisors (see below), whose sum is σ = 30253231080. Its totient is φ = 5203151360.

The previous prime is 13010010319. The next prime is 13010010341. The reversal of 13010010320 is 2301001031.

It can be written as a sum of positive squares in 4 ways, for example, as 5620201024 + 7389809296 = 74968^2 + 85964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 748286 + ... + 765474.

It is an arithmetic number, because the mean of its divisors is an integer number (756330777).

Almost surely, 213010010320 is an apocalyptic number.

13010010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010010320 is an abundant number, since it is smaller than the sum of its proper divisors (17243220760).

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

13010010320 is a wasteful number, since it uses less digits than its factorization.

13010010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26663 (or 26657 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13010010320 its reverse (2301001031), we get a palindrome (15311011351).

The spelling of 13010010320 in words is "thirteen billion, ten million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9461 17189 18922 34378 37844 47305 68756 75688 85945 94610 137512 151376 171890 189220 275024 343780 378440 687560 756880 1375120 162625129 325250258 650500516 813125645 1301001032 1626251290 2602002064 3252502580 6505005160 13010010320