Search a number
-
+
104402221125 = 35317152310753
BaseRepresentation
bin110000100111011011…
…0110111100001000101
3100222110222012100100120
41201032312313201011
53202303432034000
6115543421532153
710354120144266
oct1411666674105
9328428170316
10104402221125
1140305371a84
1218298114059
139aca86c707
1450a599696d
152ab09616a0
hex184edb7845

104402221125 has 64 divisors (see below), whose sum is σ = 184082326272. Its totient is φ = 52366540800.

The previous prime is 104402221111. The next prime is 104402221127. The reversal of 104402221125 is 521122204401.

It is not a de Polignac number, because 104402221125 - 24 = 104402221109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104402221095 and 104402221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104402221127) 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 63 ways as a sum of consecutive naturals, for example, 9703749 + ... + 9714501.

It is an arithmetic number, because the mean of its divisors is an integer number (2876286348).

Almost surely, 2104402221125 is an apocalyptic number.

104402221125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104402221125 is a deficient number, since it is larger than the sum of its proper divisors (79680105147).

104402221125 is a wasteful number, since it uses less digits than its factorization.

104402221125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12301 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 104402221125 its reverse (521122204401), we get a palindrome (625524425526).

The spelling of 104402221125 in words is "one hundred four billion, four hundred two million, two hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 1275 1523 2125 4569 6375 7615 10753 22845 25891 32259 38075 53765 77673 114225 129455 161295 182801 190375 268825 388365 548403 571125 647275 806475 914005 1344125 1941825 2742015 3236375 4032375 4570025 9709125 13710075 16376819 22850125 49130457 68550375 81884095 245652285 278405923 409420475 835217769 1228261425 1392029615 2047102375 4176088845 6141307125 6960148075 20880444225 34800740375 104402221125