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1330034400222 = 2311191879564467
BaseRepresentation
bin10011010110101100001…
…110100101101111011110
311201011001101101001211120
4103112230032211233132
5133242402301301342
62455002005031410
7165043330603413
oct23265416455736
94634041331746
101330034400222
11473078821660
121959299b5566
13985636452a8
14485343ca10a
15248e5a96aec
hex135ac3a5bde

1330034400222 has 64 divisors (see below), whose sum is σ = 3056255539200. Its totient is φ = 381624173280.

The previous prime is 1330034400151. The next prime is 1330034400223. The reversal of 1330034400222 is 2220044300331.

It is a junction number, because it is equal to n+sod(n) for n = 1330034400192 and 1330034400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330034400223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074033 + ... + 2638499.

It is an arithmetic number, because the mean of its divisors is an integer number (47753992800).

Almost surely, 21330034400222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330034400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528127769600).

1330034400222 is an abundant number, since it is smaller than the sum of its proper divisors (1726221138978).

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

1330034400222 is a wasteful number, since it uses less digits than its factorization.

1330034400222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566381.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1330034400222 its reverse (2220044300331), we get a palindrome (3550078700553).

The spelling of 1330034400222 in words is "one trillion, three hundred thirty billion, thirty-four million, four hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1879 3758 5637 11274 20669 35701 41338 62007 71402 107103 124014 214206 392711 564467 785422 1128934 1178133 1693401 2356266 3386802 6209137 10724873 12418274 18627411 21449746 32174619 37254822 64349238 117973603 235947206 353920809 707841618 1060633493 2121266986 3181900479 6363800958 11666968423 20152036367 23333936846 35000905269 40304072734 60456109101 70001810538 120912218202 221672400037 443344800074 665017200111 1330034400222