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13010000420 = 225897308989
BaseRepresentation
bin11000001110111010…
…01101101000100100
31020120200121111110102
430013131031220210
5203121030003140
65550545243232
7640254115244
oct140735155044
936520544412
1013010000420
11557689596a
122631033518
1312c4493801
148b5c0db24
15512279e15
hex30774da24

13010000420 has 24 divisors (see below), whose sum is σ = 27627982200. Its totient is φ = 5145527552.

The previous prime is 13010000389. The next prime is 13010000429. The reversal of 13010000420 is 2400001031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 613850176 + 12396150244 = 24776^2 + 111338^2 .

It is a super-2 number, since 2×130100004202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13010000429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3652715 + ... + 3656274.

It is an arithmetic number, because the mean of its divisors is an integer number (1151165925).

Almost surely, 213010000420 is an apocalyptic number.

13010000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010000420 is an abundant number, since it is smaller than the sum of its proper divisors (14617981780).

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

13010000420 is a wasteful number, since it uses less digits than its factorization.

13010000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309087 (or 7309085 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 13010000420 its reverse (2400001031), we get a palindrome (15410001451).

The spelling of 13010000420 in words is "thirteen billion, ten million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 7308989 14617978 29235956 36544945 73089890 146179780 650500021 1301000042 2602000084 3252500105 6505000210 13010000420