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1011110000013 = 33891523276277
BaseRepresentation
bin11101011011010101101…
…10100011010110001101
310120122211222211220101000
432231222312203112031
5113031223130000023
62052255244210513
7133023151123431
oct16555266432615
93518758756330
101011110000013
1135a89a265393
12143b62839a39
1374468c28549
1436d1bb8c9c1
151b47bcd3243
hexeb6ada358d

1011110000013 has 32 divisors (see below), whose sum is σ = 1515771619200. Its totient is φ = 666059442048.

The previous prime is 1011110000009. The next prime is 1011110000053. The reversal of 1011110000013 is 3100000111101.

It is not a de Polignac number, because 1011110000013 - 22 = 1011110000009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011110000053) 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 in 31 ways as a sum of consecutive naturals, for example, 3521631 + ... + 3797907.

It is an arithmetic number, because the mean of its divisors is an integer number (47367863100).

Almost surely, 21011110000013 is an apocalyptic number.

It is an amenable number.

1011110000013 is a deficient number, since it is larger than the sum of its proper divisors (504661619187).

1011110000013 is a wasteful number, since it uses less digits than its factorization.

1011110000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277898 (or 277892 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1011110000013 its reverse (3100000111101), we get a palindrome (4111110111114).

The spelling of 1011110000013 in words is "one trillion, eleven billion, one hundred ten million, thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 89 267 801 1523 2403 4569 13707 41121 135547 276277 406641 828831 1219923 2486493 3659769 7459479 24588653 73765959 221297877 420769871 663893631 1262309613 3786928839 11360786517 37448518519 112345555557 337036666671 1011110000013