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103983820781 is a prime number
BaseRepresentation
bin110000011010111101…
…0110010111111101101
3100221101210220101222112
41200311322302333231
53200424324231111
6115434114053405
710340546615231
oct1406572627755
9327353811875
10103983820781
1140110179675
121819bb7a265
139a61c87b49
1450661a25c1
152a88d65e8b
hex1835eb2fed

103983820781 has 2 divisors, whose sum is σ = 103983820782. Its totient is φ = 103983820780.

The previous prime is 103983820771. The next prime is 103983820807. The reversal of 103983820781 is 187028389301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77793577225 + 26190243556 = 278915^2 + 161834^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103983820781 is a prime.

It is a super-2 number, since 2×1039838207812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103983820741) 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, 51991910390 + 51991910391.

It is an arithmetic number, because the mean of its divisors is an integer number (51991910391).

Almost surely, 2103983820781 is an apocalyptic number.

It is an amenable number.

103983820781 is a deficient number, since it is larger than the sum of its proper divisors (1).

103983820781 is an equidigital number, since it uses as much as digits as its factorization.

103983820781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 103983820781 in words is "one hundred three billion, nine hundred eighty-three million, eight hundred twenty thousand, seven hundred eighty-one".