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1220221002221 = 13175560999289
BaseRepresentation
bin10001110000011010110…
…101101110000111101101
311022122121022002110021122
4101300122311232013231
5124443003034032341
62332321202510325
7154105133246204
oct21603265560755
94278538073248
101220221002221
11430546a43381
121785a16653a5
138b0b29c1290
14430b7cdc23b
1521b1a05d94b
hex11c1ad6e1ed

1220221002221 has 16 divisors (see below), whose sum is σ = 1391422258800. Its totient is φ = 1060071763968.

The previous prime is 1220221002211. The next prime is 1220221002233. The reversal of 1220221002221 is 1222001220221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38488946596 + 1181732055625 = 196186^2 + 1087075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1220221002221 is a prime.

It is a super-2 number, since 2×12202210022212 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220221002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220221002211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12239945 + ... + 12339233.

It is an arithmetic number, because the mean of its divisors is an integer number (86963891175).

Almost surely, 21220221002221 is an apocalyptic number.

It is an amenable number.

1220221002221 is a deficient number, since it is larger than the sum of its proper divisors (171201256579).

1220221002221 is a wasteful number, since it uses less digits than its factorization.

1220221002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154928.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1220221002221 its reverse (1222001220221), we get a palindrome (2442222222442).

The spelling of 1220221002221 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, two thousand, two hundred twenty-one".

Divisors: 1 13 17 221 55609 99289 722917 945353 1290757 1687913 12289589 21942869 5521362001 71777706013 93863154017 1220221002221