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2117344221 = 32613856729
BaseRepresentation
bin111111000110100…
…0001101111011101
312110120011020020100
41332031001233131
513314020003341
6550034011313
7103320062136
oct17615015735
95416136210
102117344221
11997205063
124b1116b39
13279881505
141612c2c8d
15c5d413b6
hex7e341bdd

2117344221 has 12 divisors (see below), whose sum is σ = 3108524380. Its totient is φ = 1388422080.

The previous prime is 2117344217. The next prime is 2117344231. The reversal of 2117344221 is 1224437112.

2117344221 is a `hidden beast` number, since 211 + 7 + 3 + 442 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1117899225 + 999444996 = 33435^2 + 31614^2 .

It is not a de Polignac number, because 2117344221 - 22 = 2117344217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117344231) 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 11 ways as a sum of consecutive naturals, for example, 1927816 + ... + 1928913.

Almost surely, 22117344221 is an apocalyptic number.

It is an amenable number.

2117344221 is a deficient number, since it is larger than the sum of its proper divisors (991180159).

2117344221 is a wasteful number, since it uses less digits than its factorization.

2117344221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856796 (or 3856793 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2117344221 is about 46014.6087780826. The cubic root of 2117344221 is about 1284.0950030879.

The spelling of 2117344221 in words is "two billion, one hundred seventeen million, three hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 61 183 549 3856729 11570187 34710561 235260469 705781407 2117344221