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2032100131201 = 72137302711177
BaseRepresentation
bin11101100100100010100…
…110110100000110000001
321012021012112220110202021
4131210202212310012001
5231243220113144301
64153311154121441
7266546223055300
oct35444246640601
97167175813667
102032100131201
11713899602538
12289a02280281
1311981aa61c4a
14704d5bba437
1537cd61978a1
hex1d9229b4181

2032100131201 has 12 divisors (see below), whose sum is σ = 2381126126148. Its totient is φ = 1729086237312.

The previous prime is 2032100131189. The next prime is 2032100131207. The reversal of 2032100131201 is 1021310012302.

It can be written as a sum of positive squares in 2 ways, for example, as 468102272400 + 1563997858801 = 684180^2 + 1250599^2 .

It is not a de Polignac number, because 2032100131201 - 221 = 2032098034049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2032100131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151348876 + ... + 151362301.

It is an arithmetic number, because the mean of its divisors is an integer number (198427177179).

Almost surely, 22032100131201 is an apocalyptic number.

It is an amenable number.

2032100131201 is a deficient number, since it is larger than the sum of its proper divisors (349025994947).

2032100131201 is a wasteful number, since it uses less digits than its factorization.

2032100131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302711328 (or 302711321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2032100131201 its reverse (1021310012302), we get a palindrome (3053410143503).

The spelling of 2032100131201 in words is "two trillion, thirty-two billion, one hundred million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 7 49 137 959 6713 302711177 2118978239 14832847673 41471431249 290300018743 2032100131201