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10220320332321 = 311461671814917
BaseRepresentation
bin1001010010111001101010…
…0100000001101000100001
31100012001102200210202220120
42110232122210001220201
52314422204001113241
633423052250230453
72103252031306551
oct224563244015041
940161380722816
1010220320332321
1132904604256a0
121190924725429
13591a0631b878
14274947c7d161
1512acc230b666
hex94b9a901a21

10220320332321 has 16 divisors (see below), whose sum is σ = 14898167621568. Its totient is φ = 6180697227200.

The previous prime is 10220320332301. The next prime is 10220320332337. The reversal of 10220320332321 is 12323302302201.

It is a cyclic number.

It is not a de Polignac number, because 10220320332321 - 27 = 10220320332193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10220320332291 and 10220320332300.

It is not an unprimeable number, because it can be changed into a prime (10220320332301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335892246 + ... + 335922671.

It is an arithmetic number, because the mean of its divisors is an integer number (931135476348).

Almost surely, 210220320332321 is an apocalyptic number.

10220320332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220320332321 is a deficient number, since it is larger than the sum of its proper divisors (4677847289247).

10220320332321 is a wasteful number, since it uses less digits than its factorization.

10220320332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671815392.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10220320332321 its reverse (12323302302201), we get a palindrome (22543622634522).

The spelling of 10220320332321 in words is "ten trillion, two hundred twenty billion, three hundred twenty million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 461 1383 5071 15213 671814917 2015444751 7389964087 22169892261 309706676737 929120030211 3406773444107 10220320332321