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123211030200 = 233526716718353
BaseRepresentation
bin111001010111111110…
…0110001111010111000
3102210000210021211211220
41302233330301322320
54004314010431300
6132334035552040
711621166322326
oct1625774617270
9383023254756
10123211030200
1148287461695
121ba6715b620
13b80751863b
145d6b9a2d16
153311d31da0
hex1caff31eb8

123211030200 has 192 divisors, whose sum is σ = 389997538560. Its totient is φ = 32170321920.

The previous prime is 123211030123. The next prime is 123211030211. The reversal of 123211030200 is 2030112321.

123211030200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 123211030200.

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 47 ways as a sum of consecutive naturals, for example, 6704224 + ... + 6722576.

It is an arithmetic number, because the mean of its divisors is an integer number (2031237180).

Almost surely, 2123211030200 is an apocalyptic number.

123211030200 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 123211030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194998769280).

123211030200 is an abundant number, since it is smaller than the sum of its proper divisors (266786508360).

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

123211030200 is a wasteful number, since it uses less digits than its factorization.

123211030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18606 (or 18597 counting only the distinct ones).

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

Adding to 123211030200 its reverse (2030112321), we get a palindrome (125241142521).

The spelling of 123211030200 in words is "one hundred twenty-three billion, two hundred eleven million, thirty thousand, two hundred".