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221002220120099 = 111391732297394937
BaseRepresentation
bin110010010000000000010110…
…110100110010100000100011
31001222111121100201001202221112
4302100000112310302200203
5212431400021322320344
62102011003543013535
764356612015654005
oct6220002664624043
91058447321052845
10221002220120099
1164466573818380
122095386443a2ab
13964155c795a82
143c807c90c2375
151a83b9552ec9e
hexc90016d32823

221002220120099 has 64 divisors (see below), whose sum is σ = 245679642432000. Its totient is φ = 197139610045440.

The previous prime is 221002220120057. The next prime is 221002220120107. The reversal of 221002220120099 is 990021022200122.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221002220120099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221002220120699) 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 63 ways as a sum of consecutive naturals, for example, 44764473959 + ... + 44764478895.

It is an arithmetic number, because the mean of its divisors is an integer number (3838744413000).

Almost surely, 2221002220120099 is an apocalyptic number.

221002220120099 is a deficient number, since it is larger than the sum of its proper divisors (24677422311901).

221002220120099 is a wasteful number, since it uses less digits than its factorization.

221002220120099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 221002220120099 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, one hundred twenty thousand, ninety-nine".

Divisors: 1 11 139 173 229 739 1529 1903 2519 4937 8129 24047 31831 39617 54307 102721 127847 169231 264517 350141 435787 686243 854101 1129931 1130573 1406317 1861541 3648443 5506763 7548673 9395111 12436303 17770733 23523109 29276963 40132873 60574393 118720039 157149647 195478063 195589129 258754199 322046593 507133577 631180639 835493447 1305920429 1728646117 2151480419 4069497857 5578469347 6942987029 9190427917 27186888931 44764476427 87734108821 116133589133 144540366331 299055778241 965075197031 1277469480463 1589944029641 20091110920009 221002220120099