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220221101211021 = 32171371427846837
BaseRepresentation
bin110010000100101000111000…
…100000100111110110001101
31001212201221011012000211111200
4302010220320200213312031
5212331100303402223041
62100212102141540113
764246310116536201
oct6204507040476615
91055657135024450
10220221101211021
1164195276532759
12208483a9274639
1395b59b7452661
143c54a885c0b01
151a6d6c9b3a1b6
hexc84a38827d8d

220221101211021 has 12 divisors (see below), whose sum is σ = 318115708425372. Its totient is φ = 146805500290176.

The previous prime is 220221101210993. The next prime is 220221101211053. The reversal of 220221101211021 is 120112101122022.

220221101211021 is a `hidden beast` number, since 220 + 2 + 211 + 0 + 1 + 211 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21067053492996 + 199154047718025 = 4589886^2 + 14112195^2 .

It is not a de Polignac number, because 220221101211021 - 210 = 220221101209997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220221101210985 and 220221101211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221101291021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713769186 + ... + 714077651.

It is an arithmetic number, because the mean of its divisors is an integer number (26509642368781).

Almost surely, 2220221101211021 is an apocalyptic number.

It is an amenable number.

220221101211021 is a deficient number, since it is larger than the sum of its proper divisors (97894607214351).

220221101211021 is a wasteful number, since it uses less digits than its factorization.

220221101211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427863980 (or 1427863977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220221101211021 its reverse (120112101122022), we get a palindrome (340333202333043).

The spelling of 220221101211021 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 17137 51411 154233 1427846837 4283540511 12850621533 24469011245669 73407033737007 220221101211021