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10142614061 = 190722789
BaseRepresentation
bin10010111001000110…
…00000001000101101
3222011212010011211122
421130203000020231
5131233002122221
64354235230325
7506225540246
oct113443001055
928155104748
1010142614061
114335272078
121b708a83a5
13c584015a8
146c3087ccd
153e567deab
hex25c8c022d

10142614061 has 6 divisors (see below), whose sum is σ = 10151574030. Its totient is φ = 10133660696.

The previous prime is 10142614051. The next prime is 10142614073. The reversal of 10142614061 is 16041624101.

It can be written as a sum of positive squares in only one way, i.e., 9091622500 + 1050991561 = 95350^2 + 32419^2 .

It is not a de Polignac number, because 10142614061 - 214 = 10142597677 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10142614061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142614051) 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 in 5 ways as a sum of consecutive naturals, for example, 3635255 + ... + 3638043.

It is an arithmetic number, because the mean of its divisors is an integer number (1691929005).

Almost surely, 210142614061 is an apocalyptic number.

It is an amenable number.

10142614061 is a deficient number, since it is larger than the sum of its proper divisors (8959969).

10142614061 is an frugal number, since it uses more digits than its factorization.

10142614061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 10142614061 in words is "ten billion, one hundred forty-two million, six hundred fourteen thousand, sixty-one".

Divisors: 1 1907 2789 3636649 5318623 10142614061