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100140114461 is a prime number
BaseRepresentation
bin101110101000011010…
…0001110001000011101
3100120110221021220011012
41131100310032020131
53120041332130321
6114000450105005
710143364633322
oct1352064161035
9316427256135
10100140114461
1139518536182
12174a887b165
13959b859bca
144bbd8d4b49
1529116b505b
hex1750d0e21d

100140114461 has 2 divisors, whose sum is σ = 100140114462. Its totient is φ = 100140114460.

The previous prime is 100140114379. The next prime is 100140114493. The reversal of 100140114461 is 164411041001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75575508100 + 24564606361 = 274910^2 + 156731^2 .

It is a cyclic number.

It is not a de Polignac number, because 100140114461 - 226 = 100073005597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100140114961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50070057230 + 50070057231.

It is an arithmetic number, because the mean of its divisors is an integer number (50070057231).

Almost surely, 2100140114461 is an apocalyptic number.

It is an amenable number.

100140114461 is a deficient number, since it is larger than the sum of its proper divisors (1).

100140114461 is an equidigital number, since it uses as much as digits as its factorization.

100140114461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 100140114461 its reverse (164411041001), we get a palindrome (264551155462).

The spelling of 100140114461 in words is "one hundred billion, one hundred forty million, one hundred fourteen thousand, four hundred sixty-one".