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220221210012201 = 3579409105126687
BaseRepresentation
bin110010000100101000111110…
…111111101010101000101001
31001212201221102202202111200000
4302010220332333222220221
5212331101014230342301
62100212121025533213
764246312610405616
oct6204507677525051
91055657382674600
10220221210012201
1164195321995692
12208484197a4209
1395b5a03b58158
143c54a98c2350d
151a6d6d447c786
hexc84a3efeaa29

220221210012201 has 96 divisors (see below), whose sum is σ = 335202304819200. Its totient is φ = 144458320406400.

The previous prime is 220221210012197. The next prime is 220221210012211. The reversal of 220221210012201 is 102210012122022.

It is a happy number.

220221210012201 is a `hidden beast` number, since 2 + 20 + 221 + 210 + 0 + 12 + 201 = 666.

It is not a de Polignac number, because 220221210012201 - 22 = 220221210012197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220221210012211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8251989880 + ... + 8252016566.

It is an arithmetic number, because the mean of its divisors is an integer number (3491690675200).

Almost surely, 2220221210012201 is an apocalyptic number.

It is an amenable number.

220221210012201 is a deficient number, since it is larger than the sum of its proper divisors (114981094806999).

220221210012201 is a wasteful number, since it uses less digits than its factorization.

220221210012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28241 (or 28229 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220221210012201 its reverse (102210012122022), we get a palindrome (322431222134223).

The spelling of 220221210012201 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred ten million, twelve thousand, two hundred one".

Divisors: 1 3 9 27 79 81 237 243 409 711 1051 1227 2133 3153 3681 6399 9459 11043 19197 26687 28377 32311 33129 80061 83029 85131 96933 99387 240183 249087 255393 290799 429859 720549 747261 872397 1289577 2108273 2161647 2241783 2617191 3868731 6324819 6484941 6725349 7851573 10914983 11606193 18974457 20176047 28048037 32744949 33958861 34818579 56923371 84144111 98234847 101876583 104455737 170770113 252432333 294704541 305629749 512310339 757296999 862283657 884113623 916889247 2215794923 2271890997 2586850971 2652340869 2750667741 6647384769 6815672991 7760552913 8252003223 11471647133 19942154307 23281658739 34414941399 59826462921 69844976217 103244824197 179479388763 209534928651 309734472591 538438166289 906260123507 929203417773 2718780370521 2787610253319 8156341111563 24469023334689 73407070004067 220221210012201