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103786421281 = 37287072
BaseRepresentation
bin110000010101000100…
…1110001110000100001
3100220220001110110202221
41200222021301300201
53200023310440111
6115402343111041
710332632011414
oct1405211616041
9326801413687
10103786421281
1140019802494
1218145a42481
139a301013ca
145047c99b7b
152a76872371
hex182a271c21

103786421281 has 9 divisors (see below), whose sum is σ = 106679523699. Its totient is φ = 100969785144.

The previous prime is 103786421279. The next prime is 103786421309. The reversal of 103786421281 is 182124687301.

The square root of 103786421281 is 322159.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 92869515025 + 10916906256 = 304745^2 + 104484^2 .

It is not a de Polignac number, because 103786421281 - 21 = 103786421279 is a prime.

It is a super-2 number, since 2×1037864212812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103786421381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11915530 + ... + 11924236.

It is an arithmetic number, because the mean of its divisors is an integer number (11853280411).

Almost surely, 2103786421281 is an apocalyptic number.

103786421281 is the 322159-th square number.

103786421281 is the 161080-th centered octagonal number.

It is an amenable number.

103786421281 is a deficient number, since it is larger than the sum of its proper divisors (2893102418).

103786421281 is an frugal number, since it uses more digits than its factorization.

103786421281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17488 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 103786421281 in words is "one hundred three billion, seven hundred eighty-six million, four hundred twenty-one thousand, two hundred eighty-one".

Divisors: 1 37 1369 8707 322159 11919883 75811849 2805038413 103786421281