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1000102002201 = 324124391111119
BaseRepresentation
bin11101000110110101011…
…10010111111000011001
310112121102211100200012100
432203122232113320121
5112341202103032301
62043235052434013
7132153313520361
oct16433256277031
93477384320170
101000102002201
11356160564735
121419b0178909
1373403460783
1436595bd99a1
151b0356b4286
hexe8dab97e19

1000102002201 has 24 divisors (see below), whose sum is σ = 1479899715840. Its totient is φ = 650440324800.

The previous prime is 1000102002113. The next prime is 1000102002331. The reversal of 1000102002201 is 1022002010001.

It is not a de Polignac number, because 1000102002201 - 211 = 1000102000153 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 (1000102202201) 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 23 ways as a sum of consecutive naturals, for example, 8944720 + ... + 9055838.

It is an arithmetic number, because the mean of its divisors is an integer number (61662488160).

Almost surely, 21000102002201 is an apocalyptic number.

It is an amenable number.

1000102002201 is a deficient number, since it is larger than the sum of its proper divisors (479797713639).

1000102002201 is a wasteful number, since it uses less digits than its factorization.

1000102002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135557 (or 135554 counting only the distinct ones).

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

Adding to 1000102002201 its reverse (1022002010001), we get a palindrome (2022104012202).

The spelling of 1000102002201 in words is "one trillion, one hundred two million, two thousand, two hundred one".

Divisors: 1 3 9 41 123 369 24391 73173 111119 219519 333357 1000031 1000071 3000093 4555879 9000279 13667637 41002911 2710303529 8130910587 24392731761 111122444689 333367334067 1000102002201