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2230123323120 = 2435721119787511
BaseRepresentation
bin100000011100111101101…
…101010101111011110000
321220012100010110220100120
4200130331231111323300
5243014243032314440
64424300550250240
7320056351322400
oct40347555257360
97805303426316
102230123323120
1178a876527550
12300267956980
131323b8666ca4
1479d1d51c800
153d025cdadd0
hex2073db55ef0

2230123323120 has 480 divisors, whose sum is σ = 8817832336896. Its totient is φ = 461044684800.

The previous prime is 2230123323119. The next prime is 2230123323157. The reversal of 2230123323120 is 213233210322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25440165 + ... + 25527675.

Almost surely, 22230123323120 is an apocalyptic number.

2230123323120 is a gapful number since it is divisible by the number (20) 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 2230123323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408916168448).

2230123323120 is an abundant number, since it is smaller than the sum of its proper divisors (6587709013776).

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

2230123323120 is a wasteful number, since it uses less digits than its factorization.

2230123323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87749 (or 87736 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2230123323120 its reverse (213233210322), we get a palindrome (2443356533442).

The spelling of 2230123323120 in words is "two trillion, two hundred thirty billion, one hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty".