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220100220110022 = 2371031512811199087
BaseRepresentation
bin110010000010111000010011…
…011011110100010011000110
31001212022101010202220122122220
4302002320103123310103012
5212322110222322010042
62100040351212233210
764234500431250210
oct6202702333642306
91055271122818586
10220100220110022
1164148a8528439a
1220828a9246b806
1395a749185ab65
143c4cc9c23b5b0
151a6a4a263c8ec
hexc82e136f44c6

220100220110022 has 128 divisors (see below), whose sum is σ = 513154716991488. Its totient is φ = 61642613088000.

The previous prime is 220100220109981. The next prime is 220100220110033. The reversal of 220100220110022 is 220011022001022.

It is a super-4 number, since 4×2201002201100224 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 220100220109983 and 220100220110010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182956963 + ... + 184156049.

It is an arithmetic number, because the mean of its divisors is an integer number (4009021226496).

Almost surely, 2220100220110022 is an apocalyptic number.

220100220110022 is an abundant number, since it is smaller than the sum of its proper divisors (293054496881466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220100220110022 is a wasteful number, since it uses less digits than its factorization.

220100220110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199634.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220100220110022 its reverse (220011022001022), we get a palindrome (440111242111044).

The spelling of 220100220110022 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 103 151 206 281 302 309 453 562 618 721 843 906 1057 1442 1686 1967 2114 2163 3171 3934 4326 5901 6342 11802 15553 28943 31106 42431 46659 57886 84862 86829 93318 108871 127293 173658 202601 217742 254586 297017 326613 405202 594034 607803 653226 891051 1199087 1215606 1782102 2398174 3597261 4370393 7194522 8393609 8740786 13111179 16787218 25180827 26222358 30592751 50361654 61185502 91778253 123505961 181062137 183556506 247011922 336943447 362124274 370517883 543186411 673886894 741035766 864541727 1010830341 1086372822 1267434959 1729083454 2021660682 2358604129 2534869918 2593625181 3802304877 4717208258 5187250362 7075812387 7604609754 14151624774 18649400111 34705175041 37298800222 50878460497 55948200333 69410350082 101756920994 104115525123 111896400666 130545800777 152635381491 208231050246 242936225287 261091601554 305270762982 356149223479 391637402331 485872450574 712298446958 728808675861 783274804662 1068447670437 1457617351722 2136895340874 5240481431191 10480962862382 15721444293573 31442888587146 36683370018337 73366740036674 110050110055011 220100220110022