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1022000012001 = 32412769647729
BaseRepresentation
bin11101101111100111111…
…00101001101011100001
310121200221221022211102100
432313303330221223201
5113221024000341001
62101300023041013
7133560053524503
oct16676374515341
93550857284370
101022000012001
113644783aa5a1
121460a18a0169
13754b3123117
14376721cbd73
151b8b7d98586
hexedf3f29ae1

1022000012001 has 12 divisors (see below), whose sum is σ = 1512227660580. Its totient is φ = 664715454720.

The previous prime is 1022000011999. The next prime is 1022000012081. The reversal of 1022000012001 is 1002100002201.

It can be written as a sum of positive squares in 2 ways, for example, as 277809109776 + 744190902225 = 527076^2 + 862665^2 .

It is not a de Polignac number, because 1022000012001 - 21 = 1022000011999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1022000012081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1384823496 + ... + 1384824233.

It is an arithmetic number, because the mean of its divisors is an integer number (126018971715).

Almost surely, 21022000012001 is an apocalyptic number.

It is an amenable number.

1022000012001 is a deficient number, since it is larger than the sum of its proper divisors (490227648579).

1022000012001 is a wasteful number, since it uses less digits than its factorization.

1022000012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769647776 (or 2769647773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022000012001 its reverse (1002100002201), we get a palindrome (2024100014202).

The spelling of 1022000012001 in words is "one trillion, twenty-two billion, twelve thousand, one".

Divisors: 1 3 9 41 123 369 2769647729 8308943187 24926829561 113555556889 340666670667 1022000012001