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2122332032331 = 327224171991123
BaseRepresentation
bin11110111000100100110…
…110001100110101001011
321111220002222010222102100
4132320210312030311023
5234233014000013311
64302552541004443
7306222236423400
oct36704466146513
97456088128370
102122332032331
11749092115355
122a33a4853723
1312519a92a914
1474a158022a7
153a317a80a56
hex1ee24d8cd4b

2122332032331 has 36 divisors (see below), whose sum is σ = 3567572533512. Its totient is φ = 1212258789504.

The previous prime is 2122332032329. The next prime is 2122332032341. The reversal of 2122332032331 is 1332302332212.

2122332032331 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 320 + 3 + 2 + 331 = 666.

It is not a de Polignac number, because 2122332032331 - 21 = 2122332032329 is a prime.

It is a super-2 number, since 2×21223320323312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122332032295 and 2122332032304.

It is not an unprimeable number, because it can be changed into a prime (2122332032311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70336 + ... + 2061458.

It is an arithmetic number, because the mean of its divisors is an integer number (99099237042).

Almost surely, 22122332032331 is an apocalyptic number.

2122332032331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2122332032331 is a deficient number, since it is larger than the sum of its proper divisors (1445240501181).

2122332032331 is a wasteful number, since it uses less digits than its factorization.

2122332032331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993560 (or 1993550 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2122332032331 its reverse (1332302332212), we get a palindrome (3454634364543).

The spelling of 2122332032331 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-two million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2417 7251 16919 21753 50757 118433 152271 355299 1065897 1991123 5973369 13937861 17920107 41813583 97565027 125440749 292695081 878085243 4812544291 14437632873 33687810037 43312898619 101063430111 235814670259 303190290333 707444010777 2122332032331