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1010000000001 = 34311715945523
BaseRepresentation
bin11101011001010001011…
…00001111010000000001
310120112222122012001121110
432230220230033100001
5113021440000000001
62051553153113533
7132653512230666
oct16545054172001
93515878161543
101010000000001
1135a37a73aa03
121438b2b588a9
137431cc85cc5
1436c545a9a6d
151b4146243d6
hexeb28b0f401

1010000000001 has 16 divisors (see below), whose sum is σ = 1349899499520. Its totient is φ = 671717169360.

The previous prime is 1009999999933. The next prime is 1010000000011. The reversal of 1010000000001 is 1000000000101.

It is not a de Polignac number, because 1010000000001 - 211 = 1009999997953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (1010000000011) 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 in 15 ways as a sum of consecutive naturals, for example, 22163826 + ... + 22209348.

It is an arithmetic number, because the mean of its divisors is an integer number (84368718720).

Almost surely, 21010000000001 is an apocalyptic number.

It is an amenable number.

1010000000001 is a deficient number, since it is larger than the sum of its proper divisors (339899499519).

1010000000001 is a wasteful number, since it uses less digits than its factorization.

1010000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63116.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 1010000000001 its reverse (1000000000101), we get a palindrome (2010000000102).

The spelling of 1010000000001 in words is "one trillion, ten billion, one", and thus it is an aban number and an uban number.

Divisors: 1 3 431 1293 17159 45523 51477 136569 7395529 19620413 22186587 58861239 781129157 2343387471 336666666667 1010000000001