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4213221100000 = 2555118346147
BaseRepresentation
bin111101010011110111100…
…011000000100111100000
3112220210001121210212001221
4331103313203000213200
51023012134100200000
612543305502104424
7613252355312143
oct75236743004740
915823047725057
104213221100000
1113848a95219a0
1258067327b114
132473c72508b3
14107cc72a205a
15748deea761a
hex3d4f78c09e0

4213221100000 has 288 divisors, whose sum is σ = 11446855604352. Its totient is φ = 1513588800000.

The previous prime is 4213221099991. The next prime is 4213221100009. The reversal of 4213221100000 is 11223124.

4213221100000 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 (4213221099991) and next prime (4213221100009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213221100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91276927 + ... + 91323073.

It is an arithmetic number, because the mean of its divisors is an integer number (39746026404).

Almost surely, 24213221100000 is an apocalyptic number.

4213221100000 is a gapful number since it is divisible by the number (40) 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 4213221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723427802176).

4213221100000 is an abundant number, since it is smaller than the sum of its proper divisors (7233634504352).

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

4213221100000 is an equidigital number, since it uses as much as digits as its factorization.

4213221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46276 (or 46248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4213221100000 its reverse (11223124), we get a palindrome (4213232323124).

The spelling of 4213221100000 in words is "four trillion, two hundred thirteen billion, two hundred twenty-one million, one hundred thousand".