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1220031221301 = 32779317394973
BaseRepresentation
bin10001110000001111100…
…001110000111000110101
311022122010001222120210200
4101300033201300320311
5124442110443040201
62332250303111113
7154100340163104
oct21601741607065
94278101876720
101220031221301
11430459900142
12178549ba2499
138b0825a4489
144309aa1a03b
1521b08572386
hex11c0f870e35

1220031221301 has 12 divisors (see below), whose sum is σ = 1762493555628. Its totient is φ = 813249730944.

The previous prime is 1220031221281. The next prime is 1220031221347. The reversal of 1220031221301 is 1031221300221.

1220031221301 is a `hidden beast` number, since 1 + 220 + 0 + 312 + 2 + 130 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1034227980900 + 185803240401 = 1016970^2 + 431049^2 .

It is not a de Polignac number, because 1220031221301 - 233 = 1211441286709 is a prime.

It is a super-2 number, since 2×12200312213012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220031220301) 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 11 ways as a sum of consecutive naturals, for example, 8627350 + ... + 8767623.

It is an arithmetic number, because the mean of its divisors is an integer number (146874462969).

Almost surely, 21220031221301 is an apocalyptic number.

It is an amenable number.

1220031221301 is a deficient number, since it is larger than the sum of its proper divisors (542462334327).

1220031221301 is a wasteful number, since it uses less digits than its factorization.

1220031221301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17402772 (or 17402769 counting only the distinct ones).

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

Adding to 1220031221301 its reverse (1031221300221), we get a palindrome (2251252521522).

The spelling of 1220031221301 in words is "one trillion, two hundred twenty billion, thirty-one million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 3 9 7793 23379 70137 17394973 52184919 156554757 135559024589 406677073767 1220031221301