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20231212100 = 225211217591667
BaseRepresentation
bin10010110101110111…
…111100110001000100
31221012221121001121212
4102311313330301010
5312413142241400
613143305030552
71314230315441
oct226567746104
957187531555
1020231212100
118641aa0100
123b07485458
131ba556c828
14d9ccb09c8
157d61dd335
hex4b5dfcc44

20231212100 has 216 divisors, whose sum is σ = 51991359840. Its totient is φ = 6802611200.

The previous prime is 20231212073. The next prime is 20231212139. The reversal of 20231212100 is 121213202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12135467 + ... + 12137133.

It is an arithmetic number, because the mean of its divisors is an integer number (240700740).

Almost surely, 220231212100 is an apocalyptic number.

20231212100 is a gapful number since it is divisible by the number (20) 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 20231212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25995679920).

20231212100 is an abundant number, since it is smaller than the sum of its proper divisors (31760147740).

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

20231212100 is a wasteful number, since it uses less digits than its factorization.

20231212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20231212100 its reverse (121213202), we get a palindrome (20352425302).

It can be divided in two parts, 202312 and 12100, that added together give a palindrome (214412).

The spelling of 20231212100 in words is "twenty billion, two hundred thirty-one million, two hundred twelve thousand, one hundred".