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10145312717 = 173759926927
BaseRepresentation
bin10010111001011010…
…10010111111001101
3222012001012021200212
421130231102333031
5131234200001332
64354413132205
7506260510121
oct113455227715
928161167625
1010145312717
114336845671
121b7178a065
13c58b37a27
146c358b581
153e5a138b2
hex25cb52fcd

10145312717 has 16 divisors (see below), whose sum is σ = 11051251200. Its totient is φ = 9274606848.

The previous prime is 10145312693. The next prime is 10145312747. The reversal of 10145312717 is 71721354101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10145312717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145312747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363308 + ... + 390234.

It is an arithmetic number, because the mean of its divisors is an integer number (690703200).

Almost surely, 210145312717 is an apocalyptic number.

10145312717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10145312717 is a deficient number, since it is larger than the sum of its proper divisors (905938483).

10145312717 is a wasteful number, since it uses less digits than its factorization.

10145312717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27580.

The product of its (nonzero) digits is 5880, while the sum is 32.

Adding to 10145312717 its reverse (71721354101), we get a palindrome (81866666818).

The spelling of 10145312717 in words is "ten billion, one hundred forty-five million, three hundred twelve thousand, seven hundred seventeen".

Divisors: 1 17 37 599 629 10183 22163 26927 376771 457759 996299 16129273 16937083 274197641 596783101 10145312717