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5104004031 = 3272917915607
BaseRepresentation
bin1001100000011100…
…01110101110111111
3111011201002021021100
410300032032232333
540423111112111
62202244304143
7240324214140
oct46016165677
914151067240
105104004031
11218a093855
12ba53a2053
13634574a39
14365c15ac7
151ed14c756
hex13038ebbf

5104004031 has 48 divisors (see below), whose sum is σ = 8765452800. Its totient is φ = 2800090944.

The previous prime is 5104003997. The next prime is 5104004033. The reversal of 5104004031 is 1304004015.

It is a happy number.

It is not a de Polignac number, because 5104004031 - 211 = 5104001983 is a prime.

It is a super-2 number, since 2×51040040312 = 52101714296928497922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5104003995 and 5104004013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104004033) 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 47 ways as a sum of consecutive naturals, for example, 319230 + ... + 334836.

It is an arithmetic number, because the mean of its divisors is an integer number (182613600).

Almost surely, 25104004031 is an apocalyptic number.

5104004031 is a deficient number, since it is larger than the sum of its proper divisors (3661448769).

5104004031 is a wasteful number, since it uses less digits than its factorization.

5104004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5104004031 is about 71442.3126095453. The cubic root of 5104004031 is about 1721.7509696250.

Adding to 5104004031 its reverse (1304004015), we get a palindrome (6408008046).

The spelling of 5104004031 in words is "five billion, one hundred four million, four thousand, thirty-one".

Divisors: 1 3 7 9 21 29 63 87 179 203 261 537 609 1253 1611 1827 3759 5191 11277 15573 15607 36337 46719 46821 109011 109249 140463 327033 327747 452603 983241 1357809 2793653 3168221 4073427 8380959 9504663 19555571 25142877 28513989 58666713 81015937 176000139 243047811 567111559 729143433 1701334677 5104004031