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2123130000222 = 232721129412672
BaseRepresentation
bin11110111001010100011…
…010001101001101011110
321111222011120122221120200
4132321110122031031132
5234241132240001342
64303204044124330
7306251066144400
oct36712432151536
97458146587520
102123130000222
11749461598450
122a3587b366a6
1312529704b87a
1474a8d79cb70
153a362b5594c
hex1ee5468d35e

2123130000222 has 648 divisors, whose sum is σ = 6283567279080. Its totient is φ = 511706764800.

The previous prime is 2123130000217. The next prime is 2123130000223. The reversal of 2123130000222 is 2220000313212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2123130000195 and 2123130000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123130000223) 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 323 ways as a sum of consecutive naturals, for example, 31688507433 + ... + 31688507499.

It is an arithmetic number, because the mean of its divisors is an integer number (9696863085).

Almost surely, 22123130000222 is an apocalyptic number.

2123130000222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123130000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141783639540).

2123130000222 is an abundant number, since it is smaller than the sum of its proper divisors (4160437278858).

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

2123130000222 is a wasteful number, since it uses less digits than its factorization.

2123130000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2123130000222 its reverse (2220000313212), we get a palindrome (4343130313434).

The spelling of 2123130000222 in words is "two trillion, one hundred twenty-three billion, one hundred thirty million, two hundred twenty-two", and thus it is an aban number.