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123300110220 = 22357317220731
BaseRepresentation
bin111001011010101000…
…0100101111110001100
3102210020222220120122220
41302311100211332030
54010004312011340
6132350541135340
711623330434000
oct1626520457614
9383228816586
10123300110220
1148322774841
121ba90b5a550
13b81cb07901
145d79750700
153319a7aed0
hex1cb5425f8c

123300110220 has 288 divisors, whose sum is σ = 427709452800. Its totient is φ = 26523786240.

The previous prime is 123300110183. The next prime is 123300110239. The reversal of 123300110220 is 22011003321.

It is a super-3 number, since 3×1233001102203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123300110220.

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, 5937255 + ... + 5957985.

Almost surely, 2123300110220 is an apocalyptic number.

123300110220 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 123300110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213854726400).

123300110220 is an abundant number, since it is smaller than the sum of its proper divisors (304409342580).

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

123300110220 is a wasteful number, since it uses less digits than its factorization.

123300110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20798 (or 20765 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123300110220 its reverse (22011003321), we get a palindrome (145311113541).

The spelling of 123300110220 in words is "one hundred twenty-three billion, three hundred million, one hundred ten thousand, two hundred twenty".