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2321131020221 = 131932813292249
BaseRepresentation
bin100001110001101110001…
…100001001111110111101
322012220020121111221000202
4201301232030021332331
5301012134020121341
64534151325133245
7326460535065356
oct41615614117675
98186217457022
102321131020221
11815427a49362
12315a260ba225
1313ab6018ca30
14804b41acd2d
15405a086979b
hex21c6e309fbd

2321131020221 has 16 divisors (see below), whose sum is σ = 2521573782000. Its totient is φ = 2123895029760.

The previous prime is 2321131020217. The next prime is 2321131020251. The reversal of 2321131020221 is 1220201311232.

It can be written as a sum of positive squares in 8 ways, for example, as 532519008121 + 1788612012100 = 729739^2 + 1337390^2 .

It is a cyclic number.

It is not a de Polignac number, because 2321131020221 - 22 = 2321131020217 is a prime.

It is a super-3 number, since 3×23211310202213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2321131020193 and 2321131020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321131020251) 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 15 ways as a sum of consecutive naturals, for example, 941096 + ... + 2351153.

It is an arithmetic number, because the mean of its divisors is an integer number (157598361375).

Almost surely, 22321131020221 is an apocalyptic number.

It is an amenable number.

2321131020221 is a deficient number, since it is larger than the sum of its proper divisors (200442761779).

2321131020221 is a wasteful number, since it uses less digits than its factorization.

2321131020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292736.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2321131020221 its reverse (1220201311232), we get a palindrome (3541332331453).

The spelling of 2321131020221 in words is "two trillion, three hundred twenty-one billion, one hundred thirty-one million, twenty thousand, two hundred twenty-one".

Divisors: 1 13 193 281 2509 3653 54233 705029 3292249 42799237 635404057 925121969 8260252741 12026585597 178548540017 2321131020221