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205131020 = 22523445937
BaseRepresentation
bin11000011101000…
…00110100001100
3112021222201212012
430032200310030
5410003143040
632204400352
75040404423
oct1416406414
9467881765
10205131020
11a5877a76
12588460b8
1333662903
141d35a2ba
151301e865
hexc3a0d0c

205131020 has 24 divisors (see below), whose sum is σ = 449505504. Its totient is φ = 78484736.

The previous prime is 205131013. The next prime is 205131037. The reversal of 205131020 is 20131502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 205130986 and 205131004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222509 + ... + 223428.

It is an arithmetic number, because the mean of its divisors is an integer number (18729396).

Almost surely, 2205131020 is an apocalyptic number.

205131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205131020 is an abundant number, since it is smaller than the sum of its proper divisors (244374484).

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

205131020 is a wasteful number, since it uses less digits than its factorization.

205131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445969 (or 445967 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 205131020 is about 14322.3957493151. The cubic root of 205131020 is about 589.7624438640.

Adding to 205131020 its reverse (20131502), we get a palindrome (225262522).

The spelling of 205131020 in words is "two hundred five million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 445937 891874 1783748 2229685 4459370 8918740 10256551 20513102 41026204 51282755 102565510 205131020