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12903003864751 = 7111331415810121
BaseRepresentation
bin1011101111000011011011…
…1101100011111010101111
31200200111220112011022210211
42323300312331203322233
53142400322442133001
643235320320443251
72501132315143150
oct273606675437257
950614815138724
1012903003864751
114125151334750
121544831a79527
137279955b4350
14328719cd5927
15175984006351
hexbbc36f63eaf

12903003864751 has 32 divisors (see below), whose sum is σ = 17883161726976. Its totient is φ = 8981498592000.

The previous prime is 12903003864719. The next prime is 12903003864769. The reversal of 12903003864751 is 15746830030921.

It is not a de Polignac number, because 12903003864751 - 25 = 12903003864719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12903003864695 and 12903003864704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903003864701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207874030 + ... + 207936091.

It is an arithmetic number, because the mean of its divisors is an integer number (558848803968).

It is a 1-persistent number, because it is pandigital, but 2⋅12903003864751 = 25806007729502 is not.

Almost surely, 212903003864751 is an apocalyptic number.

12903003864751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12903003864751 is a deficient number, since it is larger than the sum of its proper divisors (4980157862225).

12903003864751 is a wasteful number, since it uses less digits than its factorization.

12903003864751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415810183.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 12903003864751 in words is "twelve trillion, nine hundred three billion, three million, eight hundred sixty-four thousand, seven hundred fifty-one".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 2387 2821 4433 31031 415810121 2910670847 4573911331 5405531573 12890113751 32017379317 37838721011 59460847303 90230796257 141791251261 167571478763 416225931121 992538758827 1173000351341 1843286266393 12903003864751