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1131040313 = 13274931649
BaseRepresentation
bin100001101101010…
…0100111000111001
32220211020210121222
41003122210320321
54304021242223
6304122041425
740012453424
oct10332447071
92824223558
101131040313
11530496367
12276949275
1315042b330
14aa2dc9bb
15694680c8
hex436a4e39

1131040313 has 8 divisors (see below), whose sum is σ = 1218525000. Its totient is φ = 1043624448.

The previous prime is 1131040297. The next prime is 1131040321. The reversal of 1131040313 is 3130401311.

It can be written as a sum of positive squares in 4 ways, for example, as 41512249 + 1089528064 = 6443^2 + 33008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1131040313 - 24 = 1131040297 is a prime.

It is a super-2 number, since 2×11310403132 = 2558504379262275938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131040291 and 1131040300.

It is not an unprimeable number, because it can be changed into a prime (1131040343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19913 + ... + 51561.

It is an arithmetic number, because the mean of its divisors is an integer number (152315625).

Almost surely, 21131040313 is an apocalyptic number.

1131040313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1131040313 is a deficient number, since it is larger than the sum of its proper divisors (87484687).

1131040313 is a wasteful number, since it uses less digits than its factorization.

1131040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34411.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1131040313 is about 33630.9427908288. The cubic root of 1131040313 is about 1041.8999763381.

Adding to 1131040313 its reverse (3130401311), we get a palindrome (4261441624).

The spelling of 1131040313 in words is "one billion, one hundred thirty-one million, forty thousand, three hundred thirteen".

Divisors: 1 13 2749 31649 35737 411437 87003101 1131040313