Search a number
-
+
10104400031 = 111033889237
BaseRepresentation
bin10010110100100010…
…01110100010011111
3222002012012201001012
421122101032202133
5131143211300111
64350352205435
7505252661135
oct113221164237
928065181035
1010104400031
114315741330
121b5bb3987b
13c5051193b
146bbd7b755
153e213148b
hex25a44e89f

10104400031 has 8 divisors (see below), whose sum is σ = 11033665104. Its totient is φ = 9176915520.

The previous prime is 10104400001. The next prime is 10104400049. The reversal of 10104400031 is 13000440101.

It is a happy number.

10104400031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10104400031 - 218 = 10104137887 is a prime.

It is a super-2 number, since 2×101044000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10104399979 and 10104400015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433256 + ... + 455981.

It is an arithmetic number, because the mean of its divisors is an integer number (1379208138).

Almost surely, 210104400031 is an apocalyptic number.

10104400031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10104400031 is a deficient number, since it is larger than the sum of its proper divisors (929265073).

10104400031 is a wasteful number, since it uses less digits than its factorization.

10104400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890281.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10104400031 its reverse (13000440101), we get a palindrome (23104840132).

The spelling of 10104400031 in words is "ten billion, one hundred four million, four hundred thousand, thirty-one".

Divisors: 1 11 1033 11363 889237 9781607 918581821 10104400031