Search a number
-
+
123033231300 = 2235271716321143
BaseRepresentation
bin111001010010101011…
…0100001111111000100
3102202120101201201121110
41302211112201333010
54003433001400200
6132304245045020
711613610132230
oct1624526417704
9382511651543
10123033231300
11481a6062751
121ba176b6770
13b7a97355a5
145d5211d5c0
153301410b50
hex1ca55a1fc4

123033231300 has 288 divisors, whose sum is σ = 433424259072. Its totient is φ = 26304030720.

The previous prime is 123033231289. The next prime is 123033231331. The reversal of 123033231300 is 3132330321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5808529 + ... + 5829671.

It is an arithmetic number, because the mean of its divisors is an integer number (1504945344).

Almost surely, 2123033231300 is an apocalyptic number.

123033231300 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 123033231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216712129536).

123033231300 is an abundant number, since it is smaller than the sum of its proper divisors (310391027772).

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

123033231300 is a wasteful number, since it uses less digits than its factorization.

123033231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 123033231300 its reverse (3132330321), we get a palindrome (126165561621).

The spelling of 123033231300 in words is "one hundred twenty-three billion, thirty-three million, two hundred thirty-one thousand, three hundred".