Search a number
-
+
103312200123 = 32111954924083
BaseRepresentation
bin110000000110111100…
…0110001000110111011
3100212200000010112122100
41200031320301012323
53143040410400443
6115243322554443
710315113132426
oct1401570610673
9325600115570
10103312200123
113a8a6053080
1218033068a23
139985aa3b82
145000cd49bd
152a49dec3d3
hex180de311bb

103312200123 has 24 divisors (see below), whose sum is σ = 171363142080. Its totient is φ = 59318008560.

The previous prime is 103312200113. The next prime is 103312200223. The reversal of 103312200123 is 321002213301.

103312200123 is a `hidden beast` number, since 10 + 331 + 2 + 200 + 123 = 666.

It is not a de Polignac number, because 103312200123 - 28 = 103312199867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103312200096 and 103312200105.

It is not an unprimeable number, because it can be changed into a prime (103312200113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27460161 + ... + 27463922.

It is an arithmetic number, because the mean of its divisors is an integer number (7140130920).

Almost surely, 2103312200123 is an apocalyptic number.

103312200123 is a deficient number, since it is larger than the sum of its proper divisors (68050941957).

103312200123 is a wasteful number, since it uses less digits than its factorization.

103312200123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54924119 (or 54924116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103312200123 its reverse (321002213301), we get a palindrome (424314413424).

The spelling of 103312200123 in words is "one hundred three billion, three hundred twelve million, two hundred thousand, one hundred twenty-three".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 54924083 164772249 494316747 604164913 1043557577 1812494739 3130672731 5437484217 9392018193 11479133347 34437400041 103312200123