Search a number
-
+
10404241133 = 111326618467
BaseRepresentation
bin10011011000010010…
…00001111011101101
3222212002102012201012
421230021001323231
5132301441204013
64440222555005
7515553406346
oct115411017355
928762365635
1010404241133
114459a173a0
122024438a65
13c9a685300
14709b0d0cd
1540d60d1a8
hex26c241eed

10404241133 has 24 divisors (see below), whose sum is σ = 12310371936. Its totient is φ = 8716593600.

The previous prime is 10404241129. The next prime is 10404241147. The reversal of 10404241133 is 33114240401.

10404241133 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 10404241133 - 22 = 10404241129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10404241099 and 10404241108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404241633) 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 23 ways as a sum of consecutive naturals, for example, 1224566 + ... + 1233032.

It is an arithmetic number, because the mean of its divisors is an integer number (512932164).

Almost surely, 210404241133 is an apocalyptic number.

10404241133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10404241133 is a deficient number, since it is larger than the sum of its proper divisors (1906130803).

10404241133 is a wasteful number, since it uses less digits than its factorization.

10404241133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10404241133 its reverse (33114240401), we get a palindrome (43518481534).

The spelling of 10404241133 in words is "ten billion, four hundred four million, two hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 11 13 143 169 661 1859 7271 8467 8593 93137 94523 110071 111709 1210781 1228799 1430923 5596687 15740153 61563557 72756931 800326241 945840103 10404241133