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2122000313 = 193159227269
BaseRepresentation
bin111111001111011…
…0010011110111001
312110212220210012012
41332132302132321
513321213002223
6550321455305
7103404463556
oct17636623671
95425823165
102122000313
119998a5274
124b27a1535
1327a8218b4
14161b75a2d
15c6460c78
hex7e7b27b9

2122000313 has 32 divisors (see below), whose sum is σ = 2363904000. Its totient is φ = 1896989760.

The previous prime is 2122000303. The next prime is 2122000381. The reversal of 2122000313 is 3130002212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2122000313 - 24 = 2122000297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122000303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7888343 + ... + 7888611.

It is an arithmetic number, because the mean of its divisors is an integer number (73872000).

Almost surely, 22122000313 is an apocalyptic number.

It is an amenable number.

2122000313 is a deficient number, since it is larger than the sum of its proper divisors (241903687).

2122000313 is a wasteful number, since it uses less digits than its factorization.

2122000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2122000313 is about 46065.1746224846. The cubic root of 2122000313 is about 1285.0355661450.

Adding to 2122000313 its reverse (3130002212), we get a palindrome (5252002525).

The spelling of 2122000313 in words is "two billion, one hundred twenty-two million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 19 31 59 227 269 589 1121 1829 4313 5111 7037 8339 13393 15871 34751 61063 133703 158441 254467 301549 415183 492001 1160197 1892953 3602717 7888477 9348019 35966107 68451623 111684227 2122000313