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221210210101122 = 23411177302112963
BaseRepresentation
bin110010010011000010000011…
…111111100110011110000010
31002000020111012212220112220000
4302103002003333212132002
5212443302002241213442
62102250322334100430
764410624136432224
oct6223020377463602
91060214185815800
10221210210101122
11645367a5733580
122098802b94a716
13965805822a968
143c8a8ba3c0414
151a892ba170d4c
hexc93083fe6782

221210210101122 has 80 divisors (see below), whose sum is σ = 572544073281312. Its totient is φ = 63090255991680.

The previous prime is 221210210101061. The next prime is 221210210101159. The reversal of 221210210101122 is 221101012012122.

221210210101122 is a `hidden beast` number, since 2 + 21 + 210 + 210 + 101 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221210210101095 and 221210210101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3651026188 + ... + 3651086775.

Almost surely, 2221210210101122 is an apocalyptic number.

221210210101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221210210101122 is an abundant number, since it is smaller than the sum of its proper divisors (351333863180190).

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

221210210101122 is a wasteful number, since it uses less digits than its factorization.

221210210101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302113005 (or 7302112996 counting only the distinct ones).

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

Adding to 221210210101122 its reverse (221101012012122), we get a palindrome (442311222113244).

The spelling of 221210210101122 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1122 1377 1683 1782 2754 3366 5049 10098 15147 30294 7302112963 14604225926 21906338889 43812677778 65719016667 80323242593 124135920371 131438033334 160646485186 197157050001 240969727779 248271840742 372407761113 394314100002 481939455558 591471150003 722909183337 744815522226 1117223283339 1182942300006 1365495124081 1445818366674 2168727550011 2234446566678 2730990248162 3351669850017 4096485372243 4337455100022 6506182650033 6703339700034 8192970744486 10055009550051 12289456116729 13012365300066 20110019100102 24578912233458 36868368350187 73736736700374 110605105050561 221210210101122