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221022122210001 = 327193112317779109
BaseRepresentation
bin110010010000010010111001…
…000101001111001011010001
31001222120111201201100200210100
4302100102321011033023101
5212432211301241210001
62102024054453523013
764361215141641510
oct6220227105171321
91058514651320710
10221022122210001
1164473a56a53062
1220957699643469
1396433b1aac228
143c8175639c677
151a8445c8aa586
hexc904b914f2d1

221022122210001 has 96 divisors (see below), whose sum is σ = 367325868465920. Its totient is φ = 125447661453312.

The previous prime is 221022122209957. The next prime is 221022122210069. The reversal of 221022122210001 is 100012221220122.

It is a happy number.

221022122210001 is a `hidden beast` number, since 2 + 210 + 221 + 22 + 210 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 221022122210001 - 217 = 221022122078929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221022122260001) 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, 24264143235 + ... + 24264152343.

Almost surely, 2221022122210001 is an apocalyptic number.

221022122210001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221022122210001 is a deficient number, since it is larger than the sum of its proper divisors (146303746255919).

221022122210001 is a wasteful number, since it uses less digits than its factorization.

221022122210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215 (or 12212 counting only the distinct ones).

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

Adding to 221022122210001 its reverse (100012221220122), we get a palindrome (321034343430123).

The spelling of 221022122210001 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one".

Divisors: 1 3 7 9 21 63 193 579 1123 1351 1737 1777 3369 4053 5331 7861 9109 10107 12159 12439 15993 23583 27327 37317 63763 70749 81981 111951 191289 216739 342961 573867 650217 1028883 1517173 1758037 1950651 1995571 2400727 3086649 4551519 5274111 5986713 7202181 10229407 12306259 13654557 13968997 15822333 16186693 17960139 21606543 30688221 36918777 41906991 48560079 71605849 92064663 110756331 113306851 125720973 145680237 214817547 339920553 385145203 644452641 1019761659 1155435609 1974275551 2696016421 3124031749 3466306827 5922826653 8088049263 9372095247 13819928857 17768479959 18177656239 21868222243 24264147789 28116285741 41459786571 54532968717 65604666729 124379359713 127243593673 163598906151 196814000187 381730781019 1145192343057 3508287654127 10524862962381 24558013578889 31574588887143 73674040736667 221022122210001