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10222333231311 = 34315449974699
BaseRepresentation
bin1001010011000001001010…
…0010101000000011001111
31100012020121222102122020000
42110300102202220003033
52314440314301400221
633424024113455343
72103352642543665
oct224602242500317
940166558378200
1010222333231311
1132912a3682483
1211911a6871553
13591c67361166
14274a99334c35
1512ad8ddbae26
hex94c128a80cf

10222333231311 has 40 divisors (see below), whose sum is σ = 15763492800000. Its totient is φ = 6594844398480.

The previous prime is 10222333231309. The next prime is 10222333231349. The reversal of 10222333231311 is 11313233322201.

10222333231311 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 3 + 332 + 313 + 11 = 666.

It is not a de Polignac number, because 10222333231311 - 21 = 10222333231309 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222333239311) 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 39 ways as a sum of consecutive naturals, for example, 136809640 + ... + 136884338.

It is an arithmetic number, because the mean of its divisors is an integer number (394087320000).

Almost surely, 210222333231311 is an apocalyptic number.

10222333231311 is a deficient number, since it is larger than the sum of its proper divisors (5541159568689).

10222333231311 is an equidigital number, since it uses as much as digits as its factorization.

10222333231311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129241 (or 129232 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10222333231311 its reverse (11313233322201), we get a palindrome (21535566553512).

The spelling of 10222333231311 in words is "ten trillion, two hundred twenty-two billion, three hundred thirty-three million, two hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 27 31 81 93 279 837 2511 54499 74699 163497 224097 490491 672291 1471473 1689469 2016873 2315669 4414419 5068407 6050619 6947007 15205221 20841021 45615663 62523063 136846989 187569189 4071020801 12213062403 36639187209 109917561627 126201644831 329752684881 378604934493 1135814803479 3407444410437 10222333231311