Search a number
-
+
110642206041 = 343783444791
BaseRepresentation
bin110011100001011001…
…0100001010101011001
3101120120211211102110000
41213002302201111121
53303043401043131
6122454530243213
710664550143163
oct1470262412531
9346524742400
10110642206041
1142a17706004
1219539a26509
13a583582493
1454d85d5933
152d286a0ce6
hex19c2ca1559

110642206041 has 40 divisors (see below), whose sum is σ = 171792903744. Its totient is φ = 70903084320.

The previous prime is 110642206013. The next prime is 110642206043. The reversal of 110642206041 is 140602246011.

110642206041 is a `hidden beast` number, since 1 + 10 + 6 + 42 + 2 + 0 + 604 + 1 = 666.

It is not a de Polignac number, because 110642206041 - 26 = 110642205977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110642205996 and 110642206014.

It is not an unprimeable number, because it can be changed into a prime (110642206043) 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 39 ways as a sum of consecutive naturals, for example, 26356 + ... + 471146.

Almost surely, 2110642206041 is an apocalyptic number.

It is an amenable number.

110642206041 is a deficient number, since it is larger than the sum of its proper divisors (61150697703).

110642206041 is an equidigital number, since it uses as much as digits as its factorization.

110642206041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444923 (or 444914 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 110642206041 in words is "one hundred ten billion, six hundred forty-two million, two hundred six thousand, forty-one".

Divisors: 1 3 9 27 37 81 83 111 249 333 747 999 2241 2997 3071 6723 9213 27639 82917 248751 444791 1334373 4003119 12009357 16457267 36028071 36917653 49371801 110752959 148115403 332258877 444346209 996776631 1333038627 1365953161 2990329893 4097859483 12293578449 36880735347 110642206041