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2122420293 = 33711229737
BaseRepresentation
bin111111010000001…
…1001000001000101
312110220201010022000
41332200121001011
513321314422133
6550334455513
7103411163160
oct17640310105
95426633260
102122420293
1199a061864
124b2964599
1327a93aac6
14161c44ad7
15c64e5413
hex7e819045

2122420293 has 16 divisors (see below), whose sum is σ = 3593516160. Its totient is φ = 1212811488.

The previous prime is 2122420283. The next prime is 2122420297. The reversal of 2122420293 is 3920242212.

2122420293 is a `hidden beast` number, since 212 + 2 + 420 + 29 + 3 = 666.

It is not a de Polignac number, because 2122420293 - 24 = 2122420277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122420297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5614680 + ... + 5615057.

It is an arithmetic number, because the mean of its divisors is an integer number (224594760).

Almost surely, 22122420293 is an apocalyptic number.

It is an amenable number.

2122420293 is a deficient number, since it is larger than the sum of its proper divisors (1471095867).

2122420293 is a wasteful number, since it uses less digits than its factorization.

2122420293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229753 (or 11229747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2122420293 is about 46069.7329382318. The cubic root of 2122420293 is about 1285.1203373604.

The spelling of 2122420293 in words is "two billion, one hundred twenty-two million, four hundred twenty thousand, two hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 189 11229737 33689211 78608159 101067633 235824477 303202899 707473431 2122420293