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202130431040 = 265631657597
BaseRepresentation
bin1011110000111111101…
…0011001110001000000
3201022201211001210110202
42330033322121301000
511302430342243130
6232505112344332
720413660213136
oct2741772316100
9638654053422
10202130431040
11787a53a460a
12332110a50a8
13160a3803265
149ad700d756
1553d04ed145
hex2f0fe99c40

202130431040 has 28 divisors (see below), whose sum is σ = 481323089676. Its totient is φ = 80852172288.

The previous prime is 202130431021. The next prime is 202130431067. The reversal of 202130431040 is 40134031202.

202130431040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38733388864 + 163397042176 = 196808^2 + 404224^2 .

It is a super-2 number, since 2×2021304310402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315828479 + ... + 315829118.

Almost surely, 2202130431040 is an apocalyptic number.

202130431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202130431040 is an abundant number, since it is smaller than the sum of its proper divisors (279192658636).

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

202130431040 is an equidigital number, since it uses as much as digits as its factorization.

202130431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631657614 (or 631657604 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202130431040 its reverse (40134031202), we get a palindrome (242264462242).

The spelling of 202130431040 in words is "two hundred two billion, one hundred thirty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 631657597 1263315194 2526630388 3158287985 5053260776 6316575970 10106521552 12633151940 20213043104 25266303880 40426086208 50532607760 101065215520 202130431040