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203131423144 = 23132367782493
BaseRepresentation
bin1011110100101110010…
…0111000100110101000
3201102022120121110111101
42331023210320212220
511312003121020034
6233152311211144
720450533415356
oct2751344704650
9642276543441
10203131423144
1179169435811
1233450376ab4
1316202cc9b90
149b8dd387d6
15543d328514
hex2f4b9389a8

203131423144 has 32 divisors (see below), whose sum is σ = 410191515720. Its totient is φ = 93747868416.

The previous prime is 203131423141. The next prime is 203131423147. The reversal of 203131423144 is 441324131302.

It is a happy number.

203131423144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203131423141) and next prime (203131423147).

It can be written as a sum of positive squares in 4 ways, for example, as 67788371044 + 135343052100 = 260362^2 + 367890^2 .

It is not an unprimeable number, because it can be changed into a prime (203131423141) 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 7 ways as a sum of consecutive naturals, for example, 2421162 + ... + 2503654.

Almost surely, 2203131423144 is an apocalyptic number.

It is an amenable number.

203131423144 is an abundant number, since it is smaller than the sum of its proper divisors (207060092576).

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

203131423144 is a wasteful number, since it uses less digits than its factorization.

203131423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106189 (or 106185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 203131423144 its reverse (441324131302), we get a palindrome (644455554446).

The spelling of 203131423144 in words is "two hundred three billion, one hundred thirty-one million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 23677 47354 82493 94708 164986 189416 307801 329972 615602 659944 1072409 1231204 2144818 2462408 4289636 8579272 1953186761 3906373522 7812747044 15625494088 25391427893 50782855786 101565711572 203131423144