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103056561341 = 292731978521
BaseRepresentation
bin101111111111010100…
…1100101010010111101
3100212000012002202011022
41133332221211102331
53142024434430331
6115202111433525
710305560214026
oct1377651452275
9325005082138
10103056561341
113a784818958
1217b815258a5
139944b38a16
144db8d8bc4d
152a3275267b
hex17fea654bd

103056561341 has 24 divisors (see below), whose sum is σ = 108756843624. Its totient is φ = 97630202880.

The previous prime is 103056561337. The next prime is 103056561343. The reversal of 103056561341 is 143165650301.

It can be written as a sum of positive squares in 12 ways, for example, as 45091225 + 103011470116 = 6715^2 + 320954^2 .

It is not a de Polignac number, because 103056561341 - 22 = 103056561337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103056561343) 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, 12090161 + ... + 12098681.

It is an arithmetic number, because the mean of its divisors is an integer number (4531535151).

Almost surely, 2103056561341 is an apocalyptic number.

It is an amenable number.

103056561341 is a deficient number, since it is larger than the sum of its proper divisors (5700282283).

103056561341 is an equidigital number, since it uses as much as digits as its factorization.

103056561341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8849 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 103056561341 in words is "one hundred three billion, fifty-six million, five hundred sixty-one thousand, three hundred forty-one".

Divisors: 1 29 73 197 841 2117 5713 8521 14381 61393 165677 247109 417049 622033 1678637 7166161 12094421 18038957 48680473 122540501 523129753 1411733717 3553674529 103056561341