Search a number
-
+
123320231100 = 2232521152123909
BaseRepresentation
bin111001011011001110…
…1010110010010111100
3102210022101202211022200
41302312131112102330
54010024434343400
6132352540311500
711623663445313
oct1626635262274
9383271684280
10123320231100
1148333067970
121ba97842590
13b824031061
145d7c2ab27a
15331b702b00
hex1cb67564bc

123320231100 has 216 divisors, whose sum is σ = 422507489040. Its totient is φ = 29837184000.

The previous prime is 123320231081. The next prime is 123320231107. The reversal of 123320231100 is 1132023321.

123320231100 is a `hidden beast` number, since 1 + 2 + 332 + 0 + 231 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123320231107) 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, 5145946 + ... + 5169854.

It is an arithmetic number, because the mean of its divisors is an integer number (1956053190).

Almost surely, 2123320231100 is an apocalyptic number.

123320231100 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 123320231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211253744520).

123320231100 is an abundant number, since it is smaller than the sum of its proper divisors (299187257940).

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

123320231100 is a wasteful number, since it uses less digits than its factorization.

123320231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24461 (or 24451 counting only the distinct ones).

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

Adding to 123320231100 its reverse (1132023321), we get a palindrome (124452254421).

The spelling of 123320231100 in words is "one hundred twenty-three billion, three hundred twenty million, two hundred thirty-one thousand, one hundred".