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513131545003 = 72112932827813
BaseRepresentation
bin1110111011110010000…
…01100000000110101011
31211001111000112022112011
413131321001200012223
531401343133420003
61031421313500351
752033610111200
oct7357101400653
91731430468464
10513131545003
1118868841a630
12835468716b7
133950785954c
141ab9b231ca7
15d5338bb46d
hex77790601ab

513131545003 has 24 divisors (see below), whose sum is σ = 673626743280. Its totient is φ = 386055069120.

The previous prime is 513131544983. The next prime is 513131545007. The reversal of 513131545003 is 300545131315.

It is not a de Polignac number, because 513131545003 - 25 = 513131544971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513131545007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16398276 + ... + 16429537.

It is an arithmetic number, because the mean of its divisors is an integer number (28067780970).

Almost surely, 2513131545003 is an apocalyptic number.

513131545003 is a deficient number, since it is larger than the sum of its proper divisors (160495198277).

513131545003 is a wasteful number, since it uses less digits than its factorization.

513131545003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32827867 (or 32827860 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 513131545003 its reverse (300545131315), we get a palindrome (813676676318).

The spelling of 513131545003 in words is "five hundred thirteen billion, one hundred thirty-one million, five hundred forty-five thousand, three".

Divisors: 1 7 11 29 49 77 203 319 539 1421 2233 15631 32827813 229794691 361105943 952006577 1608562837 2527741601 6664046039 10472072347 17694191207 46648322273 73304506429 513131545003