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202130400040 = 2355053260001
BaseRepresentation
bin1011110000111111101…
…0010010001100101000
3201022201211000012221121
42330033322102030220
511302430340300130
6232505111545024
720413660023562
oct2741772221450
9638654005847
10202130400040
11787a5383298
123321108b174
13160a37c210a
149ad7002332
1553d04e3d7a
hex2f0fe92328

202130400040 has 16 divisors (see below), whose sum is σ = 454793400180. Its totient is φ = 80852160000.

The previous prime is 202130399987. The next prime is 202130400047. The reversal of 202130400040 is 40004031202.

202130400040 is digitally balanced in base 2, because in such base 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 184526948356 + 17603451684 = 429566^2 + 132678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202130399987 and 202130400023.

It is not an unprimeable number, because it can be changed into a prime (202130400047) by changing a digit.

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, 2526629961 + ... + 2526630040.

Almost surely, 2202130400040 is an apocalyptic number.

202130400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202130400040 is an abundant number, since it is smaller than the sum of its proper divisors (252663000140).

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

202130400040 is a wasteful number, since it uses less digits than its factorization.

202130400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053260012 (or 5053260008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202130400040 its reverse (40004031202), we get a palindrome (242134431242).

The spelling of 202130400040 in words is "two hundred two billion, one hundred thirty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5053260001 10106520002 20213040004 25266300005 40426080008 50532600010 101065200020 202130400040