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13002114112 = 261315627541
BaseRepresentation
bin11000001101111110…
…01000010001000000
31020120010202211110221
430012333020101000
5203112020122422
65550104232424
7640130101141
oct140677102100
936503684427
1013002114112
115572399859
12262a46b714
1312c2962060
148b4b59ac8
1551171d3c7
hex306fc8440

13002114112 has 28 divisors (see below), whose sum is σ = 27785769676. Its totient is φ = 6000975360.

The previous prime is 13002114109. The next prime is 13002114113. The reversal of 13002114112 is 21141120031.

It can be written as a sum of positive squares in 2 ways, for example, as 8211259456 + 4790854656 = 90616^2 + 69216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13002114113) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7812939 + ... + 7814602.

It is an arithmetic number, because the mean of its divisors is an integer number (992348917).

Almost surely, 213002114112 is an apocalyptic number.

It is an amenable number.

13002114112 is an abundant number, since it is smaller than the sum of its proper divisors (14783655564).

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

13002114112 is a wasteful number, since it uses less digits than its factorization.

13002114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627566 (or 15627556 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13002114112 its reverse (21141120031), we get a palindrome (34143234143).

The spelling of 13002114112 in words is "thirteen billion, two million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 15627541 31255082 62510164 125020328 203158033 250040656 406316066 500081312 812632132 1000162624 1625264264 3250528528 6501057056 13002114112