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1002221122221 = 331122714865559
BaseRepresentation
bin11101001010110010000…
…10001011001010101101
310112210220111212010101000
432211121002023022231
5112410022101402341
62044225232510513
7132256654660014
oct16453102131255
93483814763330
101002221122221
113570487719a0
121422a19ab439
13736804b4347
1436717421a7b
151b10b7568b6
hexe95908b2ad

1002221122221 has 32 divisors (see below), whose sum is σ = 1626886886400. Its totient is φ = 604730899440.

The previous prime is 1002221122213. The next prime is 1002221122241. The reversal of 1002221122221 is 1222211222001.

It is a happy number.

1002221122221 is a `hidden beast` number, since 100 + 2 + 221 + 122 + 221 = 666.

It is not a de Polignac number, because 1002221122221 - 23 = 1002221122213 is a prime.

It is a super-3 number, since 3×10022211222213 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002221122194 and 1002221122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002221122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7365361 + ... + 7500198.

It is an arithmetic number, because the mean of its divisors is an integer number (50840215200).

Almost surely, 21002221122221 is an apocalyptic number.

1002221122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002221122221 is a deficient number, since it is larger than the sum of its proper divisors (624665764179).

1002221122221 is a wasteful number, since it uses less digits than its factorization.

1002221122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14865806 (or 14865800 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1002221122221 its reverse (1222211222001), we get a palindrome (2224432344222).

The spelling of 1002221122221 in words is "one trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 227 297 681 2043 2497 6129 7491 22473 67419 14865559 44596677 133790031 163521149 401370093 490563447 1471690341 3374481893 4415071023 10123445679 30370337037 37119300823 91111011111 111357902469 334073707407 1002221122221