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103187260801 is a prime number
BaseRepresentation
bin110000000011001110…
…0001010010110000001
3100212100022000222010001
41200012130022112001
53142311414321201
6115223101040001
710312035150022
oct1400634122601
9325308028101
10103187260801
113a841578339
1217bb9256001
139965c3a991
144dcc490c49
152a3de6d301
hex180670a581

103187260801 has 2 divisors, whose sum is σ = 103187260802. Its totient is φ = 103187260800.

The previous prime is 103187260783. The next prime is 103187260811. The reversal of 103187260801 is 108062781301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56680181776 + 46507079025 = 238076^2 + 215655^2 .

It is a cyclic number.

It is not a de Polignac number, because 103187260801 - 25 = 103187260769 is a prime.

It is a super-2 number, since 2×1031872608012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103187260811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51593630400 + 51593630401.

It is an arithmetic number, because the mean of its divisors is an integer number (51593630401).

Almost surely, 2103187260801 is an apocalyptic number.

It is an amenable number.

103187260801 is a deficient number, since it is larger than the sum of its proper divisors (1).

103187260801 is an equidigital number, since it uses as much as digits as its factorization.

103187260801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 103187260801 in words is "one hundred three billion, one hundred eighty-seven million, two hundred sixty thousand, eight hundred one".