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103265484977 is a prime number
BaseRepresentation
bin110000000101100011…
…0100100000010110001
3100212112202020011111202
41200023012210002301
53142441431004402
6115234533420545
710314005065604
oct1401306440261
9325482204452
10103265484977
113a881746316
121801b49a755
1399791c8985
144dd8a1433b
152a45c70b02
hex180b1a40b1

103265484977 has 2 divisors, whose sum is σ = 103265484978. Its totient is φ = 103265484976.

The previous prime is 103265484877. The next prime is 103265485033. The reversal of 103265484977 is 779484562301.

It is an a-pointer prime, because the next prime (103265485033) can be obtained adding 103265484977 to its sum of digits (56).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90514332736 + 12751152241 = 300856^2 + 112921^2 .

It is a cyclic number.

It is not a de Polignac number, because 103265484977 - 224 = 103248707761 is a prime.

It is not a weakly prime, because it can be changed into another prime (103265484277) 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, 51632742488 + 51632742489.

It is an arithmetic number, because the mean of its divisors is an integer number (51632742489).

It is a 1-persistent number, because it is pandigital, but 2⋅103265484977 = 206530969954 is not.

Almost surely, 2103265484977 is an apocalyptic number.

It is an amenable number.

103265484977 is a deficient number, since it is larger than the sum of its proper divisors (1).

103265484977 is an equidigital number, since it uses as much as digits as its factorization.

103265484977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 103265484977 in words is "one hundred three billion, two hundred sixty-five million, four hundred eighty-four thousand, nine hundred seventy-seven".