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205211230399 = 7179831754287
BaseRepresentation
bin1011111100011110001…
…0101110000010111111
3201121200112010121200201
42333013202232002333
511330233033333044
6234134524504331
720553216451360
oct2770742560277
9647615117621
10205211230399
117a03643178a
12339309ab0a7
1316474b67966
149d0a249b67
155510c027d4
hex2fc78ae0bf

205211230399 has 16 divisors (see below), whose sum is σ = 248575592448. Its totient is φ = 165380049792.

The previous prime is 205211230397. The next prime is 205211230409. The reversal of 205211230399 is 993032112502.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 205211230399 - 21 = 205211230397 is a prime.

It is a super-2 number, since 2×2052112303992 (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 (205211230397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760167 + ... + 994120.

It is an arithmetic number, because the mean of its divisors is an integer number (15535974528).

Almost surely, 2205211230399 is an apocalyptic number.

205211230399 is a deficient number, since it is larger than the sum of its proper divisors (43364362049).

205211230399 is a wasteful number, since it uses less digits than its factorization.

205211230399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755294.

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 205211230399 in words is "two hundred five billion, two hundred eleven million, two hundred thirty thousand, three hundred ninety-nine".

Divisors: 1 7 17 119 983 6881 16711 116977 1754287 12280009 29822879 208760153 1724464121 12071248847 29315890057 205211230399