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10023331320321 = 3112313205970119
BaseRepresentation
bin1001000111011011110100…
…0110100101001000000001
31022111012222012020010110020
42101312331012211020001
52303210240304222241
633152353240124053
72053106331321324
oct221667506451001
938435865203406
1010023331320321
11321496424a330
12115a709466629
13579271a603c7
142691bba247bb
15125ae339bb66
hex91dbd1a5201

10023331320321 has 16 divisors (see below), whose sum is σ = 15213277578240. Its totient is φ = 5810626851920.

The previous prime is 10023331320311. The next prime is 10023331320323. The reversal of 10023331320321 is 12302313332001.

It is not a de Polignac number, because 10023331320321 - 29 = 10023331319809 is a prime.

It is a super-2 number, since 2×100233313203212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023331320291 and 10023331320300.

It is not an unprimeable number, because it can be changed into a prime (10023331320323) 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 15 ways as a sum of consecutive naturals, for example, 6602984301 + ... + 6602985818.

It is an arithmetic number, because the mean of its divisors is an integer number (950829848640).

Almost surely, 210023331320321 is an apocalyptic number.

10023331320321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10023331320321 is a deficient number, since it is larger than the sum of its proper divisors (5189946257919).

10023331320321 is a wasteful number, since it uses less digits than its factorization.

10023331320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13205970156.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10023331320321 its reverse (12302313332001), we get a palindrome (22325644652322).

The spelling of 10023331320321 in words is "ten trillion, twenty-three billion, three hundred thirty-one million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 11 23 33 69 253 759 13205970119 39617910357 145265671309 303737312737 435797013927 911211938211 3341110440107 10023331320321