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205102323234 = 23319319679747
BaseRepresentation
bin1011111100000100001…
…1010001011000100010
3201121101221012120011000
42333001003101120202
511330022143320414
6234120034332430
720550424660644
oct2770103213042
9647357176130
10205102323234
1179a8aa07166
123390042a116
1316458425b53
149cd99ba894
15550638db09
hex2fc10d1622

205102323234 has 32 divisors (see below), whose sum is σ = 458144533440. Its totient is φ = 68013202176.

The previous prime is 205102323233. The next prime is 205102323241. The reversal of 205102323234 is 432323201502.

205102323234 is a `hidden beast` number, since 2 + 0 + 5 + 102 + 323 + 234 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 205102323198 and 205102323207.

It is not an unprimeable number, because it can be changed into a prime (205102323233) 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, 9829452 + ... + 9850295.

It is an arithmetic number, because the mean of its divisors is an integer number (14317016670).

Almost surely, 2205102323234 is an apocalyptic number.

205102323234 is an abundant number, since it is smaller than the sum of its proper divisors (253042210206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205102323234 is a wasteful number, since it uses less digits than its factorization.

205102323234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19679951 (or 19679945 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 205102323234 its reverse (432323201502), we get a palindrome (637425524736).

The spelling of 205102323234 in words is "two hundred five billion, one hundred two million, three hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 193 386 579 1158 1737 3474 5211 10422 19679747 39359494 59039241 118078482 177117723 354235446 531353169 1062706338 3798191171 7596382342 11394573513 22789147026 34183720539 68367441078 102551161617 205102323234