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3107777013 = 3211272911503
BaseRepresentation
bin1011100100111100…
…1110100111110101
322000120211102121100
42321033032213311
522331042331023
61232214240313
7140004445245
oct27117164765
98016742540
103107777013
111355293960
12728956099
133a6b1bb13
14216a5db25
15132c82c43
hexb93ce9f5

3107777013 has 24 divisors (see below), whose sum is σ = 4899323520. Its totient is φ = 1882647360.

The previous prime is 3107777003. The next prime is 3107777077.

3107777013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3107777013 - 210 = 3107775989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107777003) 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, 264420 + ... + 275922.

It is an arithmetic number, because the mean of its divisors is an integer number (204138480).

Almost surely, 23107777013 is an apocalyptic number.

3107777013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3107777013 is a deficient number, since it is larger than the sum of its proper divisors (1791546507).

3107777013 is a wasteful number, since it uses less digits than its factorization.

3107777013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14249 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 21609, while the sum is 36.

The square root of 3107777013 is about 55747.4395196766. The cubic root of 3107777013 is about 1459.3180359493.

The spelling of 3107777013 in words is "three billion, one hundred seven million, seven hundred seventy-seven thousand, thirteen".

Divisors: 1 3 9 11 33 99 2729 8187 11503 24561 30019 34509 90057 103527 126533 270171 379599 1138797 31391687 94175061 282525183 345308557 1035925671 3107777013