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205098820381 = 713171063124721
BaseRepresentation
bin1011111100000011010…
…1111010001100011101
3201121101200121121010201
42333000311322030131
511330020244223011
6234115431303501
720550353131360
oct2770065721435
9647350547121
10205098820381
1179a88a34444
12338bb21ab91
131645779a660
149cd93480d7
155505deacc1
hex2fc0d7a31d

205098820381 has 32 divisors (see below), whose sum is σ = 267531683328. Its totient is φ = 152585441280.

The previous prime is 205098820379. The next prime is 205098820397. The reversal of 205098820381 is 183028890502.

It is a cyclic number.

It is not a de Polignac number, because 205098820381 - 21 = 205098820379 is a prime.

It is a super-2 number, since 2×2050988203812 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205098820331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582101 + ... + 1706821.

It is an arithmetic number, because the mean of its divisors is an integer number (8360365104).

Almost surely, 2205098820381 is an apocalyptic number.

It is an amenable number.

205098820381 is a deficient number, since it is larger than the sum of its proper divisors (62432862947).

205098820381 is a wasteful number, since it uses less digits than its factorization.

205098820381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125821.

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 205098820381 in words is "two hundred five billion, ninety-eight million, eight hundred twenty thousand, three hundred eighty-one".

Divisors: 1 7 13 17 91 119 221 1063 1547 7441 13819 18071 96733 124721 126497 234923 873047 1621373 1644461 2120257 11349611 14841799 27563341 132578423 192943387 928048961 1723519499 2253833191 12064636493 15776832337 29299831483 205098820381