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2122223100312 = 2337194133148991
BaseRepresentation
bin11110111000011110010…
…110101010000110011000
321111212211101011122210010
4132320132112222012120
5234232303103202222
64302534050121520
7306216444500340
oct36703626520630
97455741148703
102122223100312
11749036683097
122a33742802a0
131251811aa6c3
1474a05167d20
153a30d21480c
hex1ee1e5aa198

2122223100312 has 256 divisors, whose sum is σ = 6558186700800. Its totient is φ = 558721152000.

The previous prime is 2122223100299. The next prime is 2122223100341. The reversal of 2122223100312 is 2130013222212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43294137 + ... + 43343127.

It is an arithmetic number, because the mean of its divisors is an integer number (25617916800).

Almost surely, 22122223100312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122223100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279093350400).

2122223100312 is an abundant number, since it is smaller than the sum of its proper divisors (4435963600488).

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

2122223100312 is a wasteful number, since it uses less digits than its factorization.

2122223100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49398 (or 49394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2122223100312 its reverse (2130013222212), we get a palindrome (4252236322524).

The spelling of 2122223100312 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-three million, one hundred thousand, three hundred twelve".