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205114113234 = 23237307979149
BaseRepresentation
bin1011111100000111000…
…0001111110011010010
3201121102202101112222200
42333001300033303102
511330033203110414
6234121135144030
720550630124062
oct2770160176322
9647382345880
10205114113234
1179a9662a168
1233904375016
131645a9c3394
149cdb3a93a2
15550741c109
hex2fc1c0fcd2

205114113234 has 24 divisors (see below), whose sum is σ = 456425100300. Its totient is φ = 66523495968.

The previous prime is 205114113227. The next prime is 205114113287. The reversal of 205114113234 is 432311411502.

205114113234 is a `hidden beast` number, since 2 + 0 + 5 + 11 + 411 + 3 + 234 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202000808025 + 3113305209 = 449445^2 + 55797^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205114113198 and 205114113207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153988909 + ... + 153990240.

Almost surely, 2205114113234 is an apocalyptic number.

205114113234 is an abundant number, since it is smaller than the sum of its proper divisors (251310987066).

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

205114113234 is a wasteful number, since it uses less digits than its factorization.

205114113234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307979194 (or 307979191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 205114113234 its reverse (432311411502), we get a palindrome (637425524736).

The spelling of 205114113234 in words is "two hundred five billion, one hundred fourteen million, one hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 307979149 615958298 923937447 1847874894 2771812341 5543624682 11395228513 22790457026 34185685539 68371371078 102557056617 205114113234