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13001413032 = 233420063909
BaseRepresentation
bin11000001101111000…
…11101000110101000
31020120002110012210000
430012330131012220
5203111330204112
65550041223000
7640121121156
oct140674350650
936502405700
1013001413032
115571a60053
12262a191a60
1312c2777c0a
148b4a163d6
155116307dc
hex306f1d1a8

13001413032 has 40 divisors (see below), whose sum is σ = 36415996650. Its totient is φ = 4333804128.

The previous prime is 13001413027. The next prime is 13001413057. The reversal of 13001413032 is 23031410031.

It can be written as a sum of positive squares in only one way, i.e., 10873067076 + 2128345956 = 104274^2 + 46134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13001412996 and 13001413014.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10031307 + ... + 10032602.

Almost surely, 213001413032 is an apocalyptic number.

13001413032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13001413032 is an abundant number, since it is smaller than the sum of its proper divisors (23414583618).

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

13001413032 is a wasteful number, since it uses less digits than its factorization.

13001413032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20063927 (or 20063914 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13001413032 its reverse (23031410031), we get a palindrome (36032823063).

The spelling of 13001413032 in words is "thirteen billion, one million, four hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20063909 40127818 60191727 80255636 120383454 160511272 180575181 240766908 361150362 481533816 541725543 722300724 1083451086 1444601448 1625176629 2166902172 3250353258 4333804344 6500706516 13001413032