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106010590913 is a prime number
BaseRepresentation
bin110001010111010111…
…0010011111011000001
3101010122001121222220222
41202232232103323001
53214102202402123
6120411154512425
710442020104113
oct1425656237301
9333561558828
10106010590913
1140a60240007
1218666895715
139cc5b46006
1451b94293b3
152b56c656c8
hex18aeb93ec1

106010590913 has 2 divisors, whose sum is σ = 106010590914. Its totient is φ = 106010590912.

The previous prime is 106010590909. The next prime is 106010590927. The reversal of 106010590913 is 319095010601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103627979569 + 2382611344 = 321913^2 + 48812^2 .

It is an emirp because it is prime and its reverse (319095010601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106010590913 - 22 = 106010590909 is a prime.

It is a super-2 number, since 2×1060105909132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106010590963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005295456 + 53005295457.

It is an arithmetic number, because the mean of its divisors is an integer number (53005295457).

Almost surely, 2106010590913 is an apocalyptic number.

It is an amenable number.

106010590913 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010590913 is an equidigital number, since it uses as much as digits as its factorization.

106010590913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7290, while the sum is 35.

The spelling of 106010590913 in words is "one hundred six billion, ten million, five hundred ninety thousand, nine hundred thirteen".