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205430041134 = 23326314464867
BaseRepresentation
bin1011111101010010010…
…1011010101000101110
3201122020202212100121000
42333110211122220232
511331210042304014
6234212342421130
720561514352503
oct2772445325056
9648222770530
10205430041134
117a1389a24aa
12339921317a6
13164ab2a9c76
149d2b3274aa
155525025509
hex2fd495aa2e

205430041134 has 32 divisors (see below), whose sum is σ = 458247018240. Its totient is φ = 68216308056.

The previous prime is 205430041127. The next prime is 205430041147. The reversal of 205430041134 is 431140034502.

It is a happy number.

205430041134 is a `hidden beast` number, since 2 + 0 + 543 + 0 + 0 + 4 + 113 + 4 = 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 = 205430041098 and 205430041107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7218232 + ... + 7246635.

It is an arithmetic number, because the mean of its divisors is an integer number (14320219320).

Almost surely, 2205430041134 is an apocalyptic number.

205430041134 is an abundant number, since it is smaller than the sum of its proper divisors (252816977106).

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

205430041134 is a wasteful number, since it uses less digits than its factorization.

205430041134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14465141 (or 14465135 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 205430041134 its reverse (431140034502), we get a palindrome (636570075636).

The spelling of 205430041134 in words is "two hundred five billion, four hundred thirty million, forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 263 526 789 1578 2367 4734 7101 14202 14464867 28929734 43394601 86789202 130183803 260367606 390551409 781102818 3804260021 7608520042 11412780063 22825560126 34238340189 68476680378 102715020567 205430041134