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1010000137 = 3727297301
BaseRepresentation
bin111100001100110…
…110000100001001
32121101111022201111
4330030312010021
54032030001022
6244115450321
734012600546
oct7414660411
92541438644
101010000137
11479134063
122422b69a1
1313132bb23
14981d1bcd
155da09477
hex3c336109

1010000137 has 4 divisors (see below), whose sum is σ = 1037297476. Its totient is φ = 982702800.

The previous prime is 1010000113. The next prime is 1010000153. The reversal of 1010000137 is 7310000101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7310000101 = 29252068969.

It can be written as a sum of positive squares in 2 ways, for example, as 932630521 + 77369616 = 30539^2 + 8796^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010000137 - 223 = 1001611529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010000237) 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 3 ways as a sum of consecutive naturals, for example, 13648614 + ... + 13648687.

It is an arithmetic number, because the mean of its divisors is an integer number (259324369).

Almost surely, 21010000137 is an apocalyptic number.

It is an amenable number.

1010000137 is a deficient number, since it is larger than the sum of its proper divisors (27297339).

1010000137 is an equidigital number, since it uses as much as digits as its factorization.

1010000137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27297338.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 1010000137 is about 31780.4993195513. The cubic root of 1010000137 is about 1003.3223289068.

Adding to 1010000137 its reverse (7310000101), we get a palindrome (8320000238).

The spelling of 1010000137 in words is "one billion, ten million, one hundred thirty-seven", and thus it is an aban number.

Divisors: 1 37 27297301 1010000137