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1220321031021 = 3716726912421
BaseRepresentation
bin10001110000100000110…
…011010011001101101101
311022122212021022110000000
4101300200303103031231
5124443204140443041
62332335134454513
7154110456421311
oct21604063231555
94278767273000
101220321031021
11430598454504
1217860b064439
138b0ca644c11
14430c72d9b41
1521b23c1bbb6
hex11c20cd336d

1220321031021 has 64 divisors (see below), whose sum is σ = 1848155097600. Its totient is φ = 805604719680.

The previous prime is 1220321030993. The next prime is 1220321031029. The reversal of 1220321031021 is 1201301230221.

1220321031021 is a `hidden beast` number, since 12 + 2 + 0 + 321 + 0 + 310 + 21 = 666.

It is not a de Polignac number, because 1220321031021 - 27 = 1220321030893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220321030985 and 1220321031003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220321031029) 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 63 ways as a sum of consecutive naturals, for example, 98240391 + ... + 98252811.

It is an arithmetic number, because the mean of its divisors is an integer number (28877423400).

Almost surely, 21220321031021 is an apocalyptic number.

It is an amenable number.

1220321031021 is a deficient number, since it is larger than the sum of its proper divisors (627834066579).

1220321031021 is an equidigital number, since it uses as much as digits as its factorization.

1220321031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878 (or 12860 counting only the distinct ones).

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

Adding to 1220321031021 its reverse (1201301230221), we get a palindrome (2421622261242).

The spelling of 1220321031021 in words is "one trillion, two hundred twenty billion, three hundred twenty-one million, thirty-one thousand, twenty-one".

Divisors: 1 3 9 27 81 167 243 269 501 729 807 1503 2187 2421 4509 7263 12421 13527 21789 37263 40581 44923 65367 111789 121743 134769 196101 335367 365229 404307 588303 1006101 1212921 2074307 3018303 3341249 3638763 6222921 9054909 10023747 10916289 18668763 27164727 30071241 32748867 56006289 90213723 98246601 168018867 270641169 504056601 557988583 811923507 1512169803 1673965749 2435770521 4536509409 5021897247 7307311563 15065691741 45197075223 135591225669 406773677007 1220321031021