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2002211231301 = 321717097657313
BaseRepresentation
bin11101001000101101000…
…101101101011001000101
321002102001112200001001200
4131020231011231121011
5230301012033400201
64131445251213113
7264440442442401
oct35105505553105
97072045601050
102002211231301
11702151051676
122840605a7199
13116a666c8b68
146cc9c412101
15371371b7386
hex1d22d16d645

2002211231301 has 24 divisors (see below), whose sum is σ = 3063997623960. Its totient is φ = 1255554134016.

The previous prime is 2002211231281. The next prime is 2002211231327. The reversal of 2002211231301 is 1031321122002.

2002211231301 is a `hidden beast` number, since 20 + 0 + 221 + 123 + 1 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 936462644100 + 1065748587201 = 967710^2 + 1032351^2 .

It is not a de Polignac number, because 2002211231301 - 213 = 2002211223109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211231351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3567180 + ... + 4090133.

It is an arithmetic number, because the mean of its divisors is an integer number (127666567665).

Almost surely, 22002211231301 is an apocalyptic number.

It is an amenable number.

2002211231301 is a deficient number, since it is larger than the sum of its proper divisors (1061786392659).

2002211231301 is a wasteful number, since it uses less digits than its factorization.

2002211231301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659045 (or 7659042 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002211231301 its reverse (1031321122002), we get a palindrome (3033532353303).

The spelling of 2002211231301 in words is "two trillion, two billion, two hundred eleven million, two hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 17 51 153 1709 5127 15381 29053 87159 261477 7657313 22971939 68915817 130174321 390522963 1171568889 13086347917 39259043751 117777131253 222467914589 667403743767 2002211231301