Search a number
-
+
123331289085 = 325179138111087
BaseRepresentation
bin111001011011100011…
…1100001111111111101
3102210100011120122000200
41302313013201333331
54010040302222320
6132354013314113
711624156442324
oct1626707417775
9383304518020
10123331289085
114833932a9a4
121ba9b495939
13b826403344
145d7d9490bb
15331c689290
hex1cb71e1ffd

123331289085 has 48 divisors (see below), whose sum is σ = 215143568640. Its totient is φ = 65355960960.

The previous prime is 123331289041. The next prime is 123331289089. The reversal of 123331289085 is 580982133321.

It is not a de Polignac number, because 123331289085 - 27 = 123331288957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 123331289085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123331289089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11118412 + ... + 11129498.

It is an arithmetic number, because the mean of its divisors is an integer number (4482157680).

Almost surely, 2123331289085 is an apocalyptic number.

123331289085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123331289085 is a deficient number, since it is larger than the sum of its proper divisors (91812279555).

123331289085 is a wasteful number, since it uses less digits than its factorization.

123331289085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 123331289085 in words is "one hundred twenty-three billion, three hundred thirty-one million, two hundred eighty-nine thousand, eighty-five".

Divisors: 1 3 5 9 15 45 179 537 895 1381 1611 2685 4143 6905 8055 11087 12429 20715 33261 55435 62145 99783 166305 247199 498915 741597 1235995 1984573 2224791 3707985 5953719 9922865 11123955 15311147 17861157 29768595 45933441 76555735 89305785 137800323 229667205 689001615 2740695313 8222085939 13703476565 24666257817 41110429695 123331289085