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103072588369 is a prime number
BaseRepresentation
bin101111111111110011…
…0101110001001010001
3100212001022021000002221
41133333212232021101
53142043040311434
6115203443141041
710306143355042
oct1377746561121
9325038230087
10103072588369
113a792875233
1217b86974781
13994825a97a
144dbb1608c9
152a33d6b2b4
hex17ff9ae251

103072588369 has 2 divisors, whose sum is σ = 103072588370. Its totient is φ = 103072588368.

The previous prime is 103072588337. The next prime is 103072588391. The reversal of 103072588369 is 963885270301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101365824400 + 1706763969 = 318380^2 + 41313^2 .

It is a cyclic number.

It is not a de Polignac number, because 103072588369 - 25 = 103072588337 is a prime.

It is a super-2 number, since 2×1030725883692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103072582369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51536294184 + 51536294185.

It is an arithmetic number, because the mean of its divisors is an integer number (51536294185).

Almost surely, 2103072588369 is an apocalyptic number.

It is an amenable number.

103072588369 is a deficient number, since it is larger than the sum of its proper divisors (1).

103072588369 is an equidigital number, since it uses as much as digits as its factorization.

103072588369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 103072588369 in words is "one hundred three billion, seventy-two million, five hundred eighty-eight thousand, three hundred sixty-nine".