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2122140200121 = 32929459755213
BaseRepresentation
bin11110111000011001011…
…010011010110010111001
321111212121121011220002200
4132320121122122302321
5234232120342400441
64302521525220413
7306214420034664
oct36703132326271
97455547156080
102122140200121
11748aa3900a37
122a3350561709
13125169c73236
14749d81486db
153a305cdb7b6
hex1ee1969acb9

2122140200121 has 24 divisors (see below), whose sum is σ = 3069336321480. Its totient is φ = 1412904231936.

The previous prime is 2122140200087. The next prime is 2122140200137. The reversal of 2122140200121 is 1210020412212.

2122140200121 is a `hidden beast` number, since 21 + 221 + 402 + 0 + 0 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34693160121 + 2087447040000 = 186261^2 + 1444800^2 .

It is not a de Polignac number, because 2122140200121 - 210 = 2122140199097 is a prime.

It is a super-3 number, since 3×21221402001213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122140200094 and 2122140200103.

It is not an unprimeable number, because it can be changed into a prime (2122140205121) 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, 38407911 + ... + 38463123.

It is an arithmetic number, because the mean of its divisors is an integer number (127889013395).

Almost surely, 22122140200121 is an apocalyptic number.

It is an amenable number.

2122140200121 is a deficient number, since it is larger than the sum of its proper divisors (947196121359).

2122140200121 is a wasteful number, since it uses less digits than its factorization.

2122140200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60745 (or 60742 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122140200121 its reverse (1210020412212), we get a palindrome (3332160612333).

The spelling of 2122140200121 in words is "two trillion, one hundred twenty-two billion, one hundred forty million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 929 2787 4597 8361 13791 41373 55213 165639 496917 4270613 12811839 38435517 51292877 153878631 253814161 461635893 761442483 2284327449 235793355569 707380066707 2122140200121