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10280766771 = 3211293580901
BaseRepresentation
bin10011001001100100…
…00000110100110011
3222112111002001201200
421210302000310303
5132023334014041
64420052302243
7512524034652
oct114462006463
928474061650
1010280766771
1143a6252270
121bab011983
13c7ac12b62
146d756b199
1540286d1b6
hex264c80d33

10280766771 has 24 divisors (see below), whose sum is σ = 16758621360. Its totient is φ = 6015912000.

The previous prime is 10280766767. The next prime is 10280766817. The reversal of 10280766771 is 17766708201.

10280766771 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10280766771 - 22 = 10280766767 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10280766731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1787580 + ... + 1793321.

It is an arithmetic number, because the mean of its divisors is an integer number (698275890).

Almost surely, 210280766771 is an apocalyptic number.

10280766771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10280766771 is a deficient number, since it is larger than the sum of its proper divisors (6477854589).

10280766771 is a wasteful number, since it uses less digits than its factorization.

10280766771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580947 (or 3580944 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10280766771 in words is "ten billion, two hundred eighty million, seven hundred sixty-six thousand, seven hundred seventy-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 3580901 10742703 32228109 39389911 103846129 118169733 311538387 354509199 934615161 1142307419 3426922257 10280766771