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109813540313 is a prime number
BaseRepresentation
bin110011001000101100…
…1011010010111011001
3101111110002112211202202
41212101121122113121
53244344231242223
6122240405135545
710635165456131
oct1462131322731
9344402484682
10109813540313
11426319761a4
12193483ba5b5
13a4809a3a29
14545a527ac1
152ccaa65428
hex199165a5d9

109813540313 has 2 divisors, whose sum is σ = 109813540314. Its totient is φ = 109813540312.

The previous prime is 109813540307. The next prime is 109813540321. The reversal of 109813540313 is 313045318901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108950825929 + 862714384 = 330077^2 + 29372^2 .

It is a cyclic number.

It is not a de Polignac number, because 109813540313 - 24 = 109813540297 is a prime.

It is a super-2 number, since 2×1098135403132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (109813540303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54906770156 + 54906770157.

It is an arithmetic number, because the mean of its divisors is an integer number (54906770157).

Almost surely, 2109813540313 is an apocalyptic number.

It is an amenable number.

109813540313 is a deficient number, since it is larger than the sum of its proper divisors (1).

109813540313 is an equidigital number, since it uses as much as digits as its factorization.

109813540313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 109813540313 in words is "one hundred nine billion, eight hundred thirteen million, five hundred forty thousand, three hundred thirteen".