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10222321024233 = 334096131510087
BaseRepresentation
bin1001010011000001000111…
…0100000011110011101001
31100012020121010110110021000
42110300101310003303221
52314440303140233413
633424023000105213
72103352434022563
oct224602164036351
940166533413230
1010222321024233
1132912977a508a
1211911a2765209
13591c64978b36
14274a97878333
1512ad8cca9073
hex94c11d03ce9

10222321024233 has 32 divisors (see below), whose sum is σ = 15205982124800. Its totient is φ = 6787123809408.

The previous prime is 10222321024207. The next prime is 10222321024303. The reversal of 10222321024233 is 33242012322201.

10222321024233 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 23 + 210 + 2 + 423 + 3 = 666.

It is not a de Polignac number, because 10222321024233 - 210 = 10222321023209 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222321024197 and 10222321024206.

It is not an unprimeable number, because it can be changed into a prime (10222321025233) 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, 6014316 + ... + 7524402.

It is an arithmetic number, because the mean of its divisors is an integer number (475186941400).

Almost surely, 210222321024233 is an apocalyptic number.

It is an amenable number.

10222321024233 is a deficient number, since it is larger than the sum of its proper divisors (4983661100567).

10222321024233 is a wasteful number, since it uses less digits than its factorization.

10222321024233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511118 (or 1511112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10222321024233 its reverse (33242012322201), we get a palindrome (43464333346434).

The spelling of 10222321024233 in words is "ten trillion, two hundred twenty-two billion, three hundred twenty-one million, twenty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 27 409 613 1227 1839 3681 5517 11043 16551 250717 752151 1510087 2256453 4530261 6769359 13590783 40772349 617625583 925683331 1852876749 2777049993 5558630247 8331149979 16675890741 24993449937 378604482379 1135813447137 3407440341411 10222321024233