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1022002200001 = 73137829123269
BaseRepresentation
bin11101101111101000001…
…00111111110111000001
310121200222002102222210101
432313310010333313001
5113221030030400001
62101300142002401
7133560111236506
oct16676404776701
93550862388711
101022002200001
11364479664462
121460a2576401
13754b370acb3
14376725db4ad
151b8b817ba01
hexedf413fdc1

1022002200001 has 16 divisors (see below), whose sum is σ = 1044831589200. Its totient is φ = 999429331968.

The previous prime is 1022002199983. The next prime is 1022002200029. The reversal of 1022002200001 is 1000022002201.

It can be written as a sum of positive squares in 8 ways, for example, as 55201972401 + 966800227600 = 234951^2 + 983260^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022002200001 - 29 = 1022002199489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022002200031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229195 + ... + 8352463.

It is an arithmetic number, because the mean of its divisors is an integer number (65301974325).

Almost surely, 21022002200001 is an apocalyptic number.

It is an amenable number.

1022002200001 is a deficient number, since it is larger than the sum of its proper divisors (22829389199).

1022002200001 is a wasteful number, since it uses less digits than its factorization.

1022002200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124308.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1022002200001 its reverse (1000022002201), we get a palindrome (2022024202202).

The spelling of 1022002200001 in words is "one trillion, twenty-two billion, two million, two hundred thousand, one".

Divisors: 1 73 137 829 10001 60517 113573 123269 8290829 8998637 16887853 102190001 1232813269 7459870073 14000030137 1022002200001