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2122120001 = 23273179307
BaseRepresentation
bin111111001111100…
…1111101101000001
312110220010212101002
41332133033231001
513321230320001
6550324221345
7103405502531
oct17637175501
95426125332
102122120001
11999977191
124b283a855
1327a864211
14161ba74c1
15c648646b
hex7e7cfb41

2122120001 has 24 divisors (see below), whose sum is σ = 2268715680. Its totient is φ = 1984378176.

The previous prime is 2122119913. The next prime is 2122120031. The reversal of 2122120001 is 1000212212.

It is a happy number.

It is not a de Polignac number, because 2122120001 - 214 = 2122103617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122120031) 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, 6912290 + ... + 6912596.

It is an arithmetic number, because the mean of its divisors is an integer number (94529820).

Almost surely, 22122120001 is an apocalyptic number.

It is an amenable number.

2122120001 is a deficient number, since it is larger than the sum of its proper divisors (146595679).

2122120001 is a wasteful number, since it uses less digits than its factorization.

2122120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2122120001 is about 46066.4737200494. The cubic root of 2122120001 is about 1285.0597258093.

Adding to 2122120001 its reverse (1000212212), we get a palindrome (3122332213).

The spelling of 2122120001 in words is "two billion, one hundred twenty-two million, one hundred twenty thousand, one".

Divisors: 1 23 73 179 307 529 1679 4117 7061 13067 22411 38617 54953 94691 162403 300541 515453 1263919 4011569 6912443 11855419 29070137 92266087 2122120001