Search a number
-
+
111103123320 = 233257231203173
BaseRepresentation
bin110011101111001000…
…0110001111101111000
3101121202222010110002100
41213132100301331320
53310014344421240
6123012353303400
711012144652300
oct1473620617570
9347688113070
10111103123320
11431338a8a82
1219648264b60
13a627c023b7
14553d8d6600
152d53d98e30
hex19de431f78

111103123320 has 288 divisors, whose sum is σ = 433589569920. Its totient is φ = 24575685120.

The previous prime is 111103123319. The next prime is 111103123321. The reversal of 111103123320 is 23321301111.

111103123320 is a `hidden beast` number, since 1 + 11 + 10 + 312 + 332 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111103123319) and next prime (111103123321).

It is a super-2 number, since 2×1111031233202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111103123293 and 111103123302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111103123321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 445254 + ... + 648426.

It is an arithmetic number, because the mean of its divisors is an integer number (1505519340).

Almost surely, 2111103123320 is an apocalyptic number.

111103123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111103123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216794784960).

111103123320 is an abundant number, since it is smaller than the sum of its proper divisors (322486446600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111103123320 is a wasteful number, since it uses less digits than its factorization.

111103123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203235 (or 203221 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111103123320 its reverse (23321301111), we get a palindrome (134424424431).

The spelling of 111103123320 in words is "one hundred eleven billion, one hundred three million, one hundred twenty-three thousand, three hundred twenty".