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204133142031 = 3713747740447
BaseRepresentation
bin1011111000011101001…
…0001000111000001111
3201111220101112001110220
42332013102020320033
511321031041021111
6233435533402423
720514416035530
oct2760722107017
9644811461426
10204133142031
1179632922a65
123368b939413
13163326b9550
149c46db2687
15549b248e06
hex2f87488e0f

204133142031 has 16 divisors (see below), whose sum is σ = 334987720704. Its totient is φ = 107674624224.

The previous prime is 204133142021. The next prime is 204133142033. The reversal of 204133142031 is 130241331402.

It is a happy number.

204133142031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204133142031 - 25 = 204133141999 is a prime.

It is a super-2 number, since 2×2041331420312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204133141992 and 204133142010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204133142033) 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 15 ways as a sum of consecutive naturals, for example, 373869951 + ... + 373870496.

It is an arithmetic number, because the mean of its divisors is an integer number (20936732544).

Almost surely, 2204133142031 is an apocalyptic number.

204133142031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204133142031 is a deficient number, since it is larger than the sum of its proper divisors (130854578673).

204133142031 is a wasteful number, since it uses less digits than its factorization.

204133142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747740470.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 204133142031 its reverse (130241331402), we get a palindrome (334374473433).

The spelling of 204133142031 in words is "two hundred four billion, one hundred thirty-three million, one hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 13 21 39 91 273 747740447 2243221341 5234183129 9720625811 15702549387 29161877433 68044380677 204133142031