Search a number
-
+
1313313122120 = 235263312469741
BaseRepresentation
bin10011000111000111100…
…011111110011101001000
311122112220001100010111012
4103013013203332131020
5133004131124401440
62443154442023052
7163612060230446
oct23070743763510
94575801303435
101313313122120
11466a7802395a
12192641aa7a88
1396aca30c8ac
14477c9741b96
1524267ac8e65
hex131c78fe748

1313313122120 has 32 divisors (see below), whose sum is σ = 2956077038520. Its totient is φ = 525125690880.

The previous prime is 1313313122101. The next prime is 1313313122141. The reversal of 1313313122120 is 212213133131.

It can be written as a sum of positive squares in 4 ways, for example, as 575167526404 + 738145595716 = 758398^2 + 859154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6129551 + ... + 6340190.

Almost surely, 21313313122120 is an apocalyptic number.

1313313122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313313122120 is an abundant number, since it is smaller than the sum of its proper divisors (1642763916400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313313122120 is a wasteful number, since it uses less digits than its factorization.

1313313122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472385 (or 12472381 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1313313122120 its reverse (212213133131), we get a palindrome (1525526255251).

The spelling of 1313313122120 in words is "one trillion, three hundred thirteen billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2633 5266 10532 13165 21064 26330 52660 105320 12469741 24939482 49878964 62348705 99757928 124697410 249394820 498789640 32832828053 65665656106 131331312212 164164140265 262662624424 328328280530 656656561060 1313313122120