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205420441319 = 3128157141299
BaseRepresentation
bin1011111101010000000…
…0110010111011100111
3201122020002210122010022
42333110000302323213
511331200113110234
6234211400545355
720561336640632
oct2772400627347
9648202718108
10205420441319
117a133535a75
123398aa8225b
13164a92c85c2
149d29d48c19
15552427ae2e
hex2fd4032ee7

205420441319 has 16 divisors (see below), whose sum is σ = 213179366400. Its totient is φ = 197734824000.

The previous prime is 205420441309. The next prime is 205420441321. The reversal of 205420441319 is 913144024502.

It is a cyclic number.

It is not a de Polignac number, because 205420441319 - 28 = 205420441063 is a prime.

It is a super-2 number, since 2×2054204413192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205420441309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4953332 + ... + 4994630.

It is an arithmetic number, because the mean of its divisors is an integer number (13323710400).

Almost surely, 2205420441319 is an apocalyptic number.

205420441319 is a deficient number, since it is larger than the sum of its proper divisors (7758925081).

205420441319 is a wasteful number, since it uses less digits than its factorization.

205420441319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42182.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 205420441319 in words is "two hundred five billion, four hundred twenty million, four hundred forty-one thousand, three hundred nineteen".

Divisors: 1 31 281 571 8711 17701 41299 160451 1280269 4973981 11605019 23581729 359755589 731033599 6626465849 205420441319