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12032023110100 = 22527178916369697
BaseRepresentation
bin1010111100010110110001…
…1101101010000111010100
31120121020202101012122111021
42233011230131222013110
53034113040404010400
641331233552250524
72351166514654360
oct257055435520724
946536671178437
1012032023110100
11391983040a454
121423a78240a44
136937cbc60c46
142d84d29ba2a0
1515cea947471a
hexaf16c76a1d4

12032023110100 has 288 divisors, whose sum is σ = 32146145015040. Its totient is φ = 3815370915840.

The previous prime is 12032023110097. The next prime is 12032023110101. The reversal of 12032023110100 is 101132023021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032023110101) by changing a digit.

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, 172598452 + ... + 172668148.

It is an arithmetic number, because the mean of its divisors is an integer number (111618559080).

Almost surely, 212032023110100 is an apocalyptic number.

12032023110100 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 12032023110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073072507520).

12032023110100 is an abundant number, since it is smaller than the sum of its proper divisors (20114121904940).

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

12032023110100 is a wasteful number, since it uses less digits than its factorization.

12032023110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69987 (or 69980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12032023110100 its reverse (101132023021), we get a palindrome (12133155133121).

The spelling of 12032023110100 in words is "twelve trillion, thirty-two billion, twenty-three million, one hundred ten thousand, one hundred".