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13012135025 = 5237731311471
BaseRepresentation
bin11000001111001010…
…10110110001110001
31020120211121221120212
430013211112301301
5203122101310100
65551103113505
7640311215501
oct140745266161
936524557525
1013012135025
1155780136aa
1226318a2895
1312c4a602a6
148b6207a01
1551254c635
hex307956c71

13012135025 has 48 divisors (see below), whose sum is σ = 16937868288. Its totient is φ = 9906624000.

The previous prime is 13012135001. The next prime is 13012135033. The reversal of 13012135025 is 52053121031.

It is a happy number.

13012135025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13012135025 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8845040 + ... + 8846510.

It is an arithmetic number, because the mean of its divisors is an integer number (352872256).

Almost surely, 213012135025 is an apocalyptic number.

It is an amenable number.

13012135025 is a deficient number, since it is larger than the sum of its proper divisors (3925733263).

13012135025 is a wasteful number, since it uses less digits than its factorization.

13012135025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 13012135025 its reverse (52053121031), we get a palindrome (65065256056).

The spelling of 13012135025 in words is "thirteen billion, twelve million, one hundred thirty-five thousand, twenty-five".

Divisors: 1 5 25 37 73 131 185 365 655 925 1471 1825 2701 3275 4847 7355 9563 13505 24235 36775 47815 54427 67525 107383 121175 192701 239075 272135 353831 536915 963505 1360675 1769155 2684575 3973171 4817525 7129937 8845775 14067173 19865855 35649685 70335865 99329275 178248425 351679325 520485401 2602427005 13012135025