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12023000100 = 2234521787313
BaseRepresentation
bin10110011001010000…
…00110110000100100
31011000220101200120000
423030220012300210
5144110342000400
65305010341300
7603640546266
oct131450066044
934026350500
1012023000100
11510a740a21
1223b658a830
131197b58657
14820ac7b36
154a57b5600
hex2cca06c24

12023000100 has 180 divisors, whose sum is σ = 41266866564. Its totient is φ = 3017502720.

The previous prime is 12023000089. The next prime is 12023000123. The reversal of 12023000100 is 100032021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 851355684 + 11171644416 = 29178^2 + 105696^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 94044 + ... + 181356.

Almost surely, 212023000100 is an apocalyptic number.

12023000100 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 12023000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633433282).

12023000100 is an abundant number, since it is smaller than the sum of its proper divisors (29243866464).

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

12023000100 is a wasteful number, since it uses less digits than its factorization.

12023000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87356 (or 87340 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12023000100 its reverse (100032021), we get a palindrome (12123032121).

The spelling of 12023000100 in words is "twelve billion, twenty-three million, one hundred", and thus it is an aban number.