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1022144330313 = 33166512273569
BaseRepresentation
bin11101101111111001000…
…11001011101001001001
310121201022222212221221000
432313330203023221021
5113221322422032223
62101322220205213
7133563455311551
oct16677443135111
93551288787830
101022144330313
11364541911027
12146122099809
1375506cb2b82
1437687438161
151b8c58a4543
hexedfc8cba49

1022144330313 has 16 divisors (see below), whose sum is σ = 1514379505600. Its totient is φ = 681388329600.

The previous prime is 1022144330299. The next prime is 1022144330327. The reversal of 1022144330313 is 3130334412201.

It is a happy number.

1022144330313 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 14 + 4 + 330 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (1022144330299) and next prime (1022144330327).

It is not a de Polignac number, because 1022144330313 - 214 = 1022144313929 is a prime.

It is a super-2 number, since 2×10221443303132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022144335313) 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 15 ways as a sum of consecutive naturals, for example, 687208 + ... + 1586361.

It is an arithmetic number, because the mean of its divisors is an integer number (94648719100).

Almost surely, 21022144330313 is an apocalyptic number.

It is an amenable number.

1022144330313 is a deficient number, since it is larger than the sum of its proper divisors (492235175287).

1022144330313 is a wasteful number, since it uses less digits than its factorization.

1022144330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290229 (or 2290223 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1022144330313 its reverse (3130334412201), we get a palindrome (4152478742514).

The spelling of 1022144330313 in words is "one trillion, twenty-two billion, one hundred forty-four million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 27 16651 49953 149859 449577 2273569 6820707 20462121 61386363 37857197419 113571592257 340714776771 1022144330313