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10741561313 = 72219215537
BaseRepresentation
bin10100000000011111…
…10011011111100001
31000201121010212000012
422000033303133201
5133444314430223
64533512534305
7530120523200
oct120017633741
930647125005
1010741561313
114612370aaa
1220b93b1395
13102251bc52
1473c839237
1542d03ec78
hex2803f37e1

10741561313 has 6 divisors (see below), whose sum is σ = 12495285666. Its totient is φ = 9207052512.

The previous prime is 10741561297. The next prime is 10741561319. The reversal of 10741561313 is 31316514701.

10741561313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10738762384 + 2798929 = 103628^2 + 1673^2 .

It is not a de Polignac number, because 10741561313 - 24 = 10741561297 is a prime.

It is a super-2 number, since 2×107415613132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10741561313.

It is not an unprimeable number, because it can be changed into a prime (10741561319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109607720 + ... + 109607817.

It is an arithmetic number, because the mean of its divisors is an integer number (2082547611).

Almost surely, 210741561313 is an apocalyptic number.

It is an amenable number.

10741561313 is a deficient number, since it is larger than the sum of its proper divisors (1753724353).

10741561313 is an equidigital number, since it uses as much as digits as its factorization.

10741561313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219215551 (or 219215544 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 10741561313 in words is "ten billion, seven hundred forty-one million, five hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 7 49 219215537 1534508759 10741561313