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1002002201201 = 17371593008269
BaseRepresentation
bin11101001010010111111…
…11000011101001110001
310112210100020220210012002
432211023333003221301
5112404100030414301
62044151412343345
7132251356116221
oct16451377035161
93483306823162
101002002201201
11356a46136331
12142240614b55
1373647033a91
14366d6316081
151b0e741116b
hexe94bfc3a71

1002002201201 has 8 divisors (see below), whose sum is σ = 1089617656680. Its totient is φ = 917572762368.

The previous prime is 1002002201197. The next prime is 1002002201209. The reversal of 1002002201201 is 1021022002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 316658300176 + 685343901025 = 562724^2 + 827855^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002002201201 - 22 = 1002002201197 is a prime.

It is a super-2 number, since 2×10020022012012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002002201209) 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 7 ways as a sum of consecutive naturals, for example, 796503506 + ... + 796504763.

It is an arithmetic number, because the mean of its divisors is an integer number (136202207085).

Almost surely, 21002002201201 is an apocalyptic number.

It is an amenable number.

1002002201201 is a deficient number, since it is larger than the sum of its proper divisors (87615455479).

1002002201201 is a wasteful number, since it uses less digits than its factorization.

1002002201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593008323.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002002201201 its reverse (1021022002001), we get a palindrome (2023024203202).

The spelling of 1002002201201 in words is "one trillion, two billion, two million, two hundred one thousand, two hundred one".

Divisors: 1 17 37 629 1593008269 27081140573 58941305953 1002002201201