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1002322311021 = 32111369145669
BaseRepresentation
bin11101001010111110001…
…00001011011101101101
310112211011120021001022100
432211133010023131231
5112410224002423041
62044243245405313
7132262324033053
oct16453704133555
93484146231270
101002322311021
1135709a8a55a9
1214230b869839
1373698452c85
1436726a421d3
151b1155936b6
hexe95f10b76d

1002322311021 has 6 divisors (see below), whose sum is σ = 1447798893710. Its totient is φ = 668214874008.

The previous prime is 1002322310971. The next prime is 1002322311047. The reversal of 1002322311021 is 1201132232001.

1002322311021 is a `hidden beast` number, since 10 + 0 + 2 + 322 + 311 + 0 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762584774121 + 239737536900 = 873261^2 + 489630^2 .

It is not a de Polignac number, because 1002322311021 - 210 = 1002322309997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002322310985 and 1002322311003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002322311421) 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 5 ways as a sum of consecutive naturals, for example, 55684572826 + ... + 55684572843.

Almost surely, 21002322311021 is an apocalyptic number.

It is an amenable number.

1002322311021 is a deficient number, since it is larger than the sum of its proper divisors (445476582689).

1002322311021 is a wasteful number, since it uses less digits than its factorization.

1002322311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111369145675 (or 111369145672 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002322311021 its reverse (1201132232001), we get a palindrome (2203454543022).

The spelling of 1002322311021 in words is "one trillion, two billion, three hundred twenty-two million, three hundred eleven thousand, twenty-one".

Divisors: 1 3 9 111369145669 334107437007 1002322311021