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2122131321 = 321072299623
BaseRepresentation
bin111111001111101…
…0010011101111001
312110220011102220100
41332133102131321
513321231200241
6550324350013
7103405550532
oct17637223571
95426142810
102122131321
11999984742
124b2845309
1327a86940b
14161bab689
15c64899b6
hex7e7d2779

2122131321 has 24 divisors (see below), whose sum is σ = 3107782080. Its totient is φ = 1395266976.

The previous prime is 2122131311. The next prime is 2122131329. The reversal of 2122131321 is 1231312212.

2122131321 is a `hidden beast` number, since 212 + 2 + 131 + 321 = 666.

It is not a de Polignac number, because 2122131321 - 214 = 2122114937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122131294 and 2122131303.

It is not an unprimeable number, because it can be changed into a prime (2122131329) 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, 215716 + ... + 225338.

It is an arithmetic number, because the mean of its divisors is an integer number (129490920).

Almost surely, 22122131321 is an apocalyptic number.

It is an amenable number.

2122131321 is a deficient number, since it is larger than the sum of its proper divisors (985650759).

2122131321 is a wasteful number, since it uses less digits than its factorization.

2122131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9962 counting only the distinct ones).

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

The square root of 2122131321 is about 46066.5965858126. The cubic root of 2122131321 is about 1285.0620107649.

Adding to 2122131321 its reverse (1231312212), we get a palindrome (3353443533).

The spelling of 2122131321 in words is "two billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 107 229 321 687 963 2061 9623 24503 28869 73509 86607 220527 1029661 2203667 3088983 6611001 9266949 19833003 235792369 707377107 2122131321