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2279012121 = 32159132
BaseRepresentation
bin1000011111010110…
…1111011100011001
312212211100210220100
42013311233130121
514131411341441
61014051050013
7110322166131
oct20765573431
95784323810
102279012121
11a6a4965a1
125372a0909
132a42071a9
14178967ac1
15d5127cb6
hex87d6f719

2279012121 has 9 divisors (see below), whose sum is σ = 3292113279. Its totient is φ = 1519245936.

The previous prime is 2279012059. The next prime is 2279012147. The reversal of 2279012121 is 1212109722.

The square root of 2279012121 is 47739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1852011225 + 427000896 = 43035^2 + 20664^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2279012121 - 217 = 2278881049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2279012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135261 + ... + 151173.

Almost surely, 22279012121 is an apocalyptic number.

2279012121 is the 47739-th square number.

2279012121 is the 23870-th centered octagonal number.

It is an amenable number.

2279012121 is a deficient number, since it is larger than the sum of its proper divisors (1013101158).

2279012121 is an frugal number, since it uses more digits than its factorization.

2279012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31832 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The cubic root of 2279012121 is about 1315.9787555890.

The spelling of 2279012121 in words is "two billion, two hundred seventy-nine million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 15913 47739 143217 253223569 759670707 2279012121