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12230201100 = 223521361101509
BaseRepresentation
bin10110110001111101…
…00000111100001100
31011120100021120220010
423120332200330030
5200021412413400
65341331353220
7612034664655
oct133076407414
934510246803
1012230201100
1152066a2117
122453a52810
1311cba644b0
1484042252c
154b8a93450
hex2d8fa0f0c

12230201100 has 288 divisors, whose sum is σ = 39193116480. Its totient is φ = 2926080000.

The previous prime is 12230201099. The next prime is 12230201101. The reversal of 12230201100 is 110203221.

12230201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12230201099) and next prime (12230201101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12230201101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24027646 + ... + 24028154.

It is an arithmetic number, because the mean of its divisors is an integer number (136087210).

Almost surely, 212230201100 is an apocalyptic number.

12230201100 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 12230201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596558240).

12230201100 is an abundant number, since it is smaller than the sum of its proper divisors (26962915380).

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

12230201100 is a wasteful number, since it uses less digits than its factorization.

12230201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12230201100 its reverse (110203221), we get a palindrome (12340404321).

The spelling of 12230201100 in words is "twelve billion, two hundred thirty million, two hundred one thousand, one hundred".