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13514295001 = 101211512
BaseRepresentation
bin11001001011000001…
…11100011011011001
31021212211112022120111
430211200330123121
5210134124420001
610113002124321
7655616416654
oct144540743331
937784468514
1013514295001
115805515949
122751ab06a1
131374ac057c
14922ba289b
15541690851
hex32583c6d9

13514295001 has 9 divisors (see below), whose sum is σ = 13661293759. Its totient is φ = 13368865000.

The previous prime is 13514294971. The next prime is 13514295007. The reversal of 13514295001 is 10059241531.

The square root of 13514295001 is 116251.

It is a perfect power (a square), and thus also a powerful number.

13514295001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12984374601 + 529920400 = 113949^2 + 23020^2 .

It is a de Polignac number, because none of the positive numbers 2k-13514295001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13514295007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11740776 + ... + 11741926.

Almost surely, 213514295001 is an apocalyptic number.

13514295001 is the 116251-st square number.

13514295001 is the 58126-th centered octagonal number.

It is an amenable number.

13514295001 is a deficient number, since it is larger than the sum of its proper divisors (146998758).

13514295001 is an frugal number, since it uses more digits than its factorization.

13514295001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 13514295001 in words is "thirteen billion, five hundred fourteen million, two hundred ninety-five thousand, one".

Divisors: 1 101 1151 10201 116251 1324801 11741351 133804901 13514295001