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123113210220 = 22325711133759313
BaseRepresentation
bin111001010101000011…
…1101000000101101100
3102202202222020002001200
41302222013220011230
54004113440211340
6132320223205500
711615601010020
oct1625207500554
9382688202050
10123113210220
114823721a030
121ba3a446890
13b7c01891b0
145d5c9bc380
15330845d330
hex1caa1e816c

123113210220 has 1152 divisors, whose sum is σ = 525359278080. Its totient is φ = 22514319360.

The previous prime is 123113210203. The next prime is 123113210239. The reversal of 123113210220 is 22012311321.

123113210220 is a `hidden beast` number, since 1 + 231 + 1 + 3 + 210 + 220 = 666.

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 = 123113210193 and 123113210202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 393332784 + ... + 393333096.

It is an arithmetic number, because the mean of its divisors is an integer number (456041040).

Almost surely, 2123113210220 is an apocalyptic number.

123113210220 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 123113210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262679639040).

123113210220 is an abundant number, since it is smaller than the sum of its proper divisors (402246067860).

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

123113210220 is a wasteful number, since it uses less digits than its factorization.

123113210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123113210220 its reverse (22012311321), we get a palindrome (145125521541).

It can be divided in two parts, 123113 and 210220, that added together give a palindrome (333333).

The spelling of 123113210220 in words is "one hundred twenty-three billion, one hundred thirteen million, two hundred ten thousand, two hundred twenty".