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221020110120222 = 23277513446967763
BaseRepresentation
bin110010010000010001000001…
…001001101110010100011110
31001222120022112111020221111200
4302100101001021232110132
5212432143141142321342
62102023123055500330
764361114240314530
oct6220210111562436
91058508474227450
10221020110120222
11644731141a9246
12209572178276a6
139643150c9106a
143c81605077850
151a84390e0a94c
hexc9044126e51e

221020110120222 has 96 divisors (see below), whose sum is σ = 548040623569920. Its totient is φ = 63061756632000.

The previous prime is 221020110120203. The next prime is 221020110120253. The reversal of 221020110120222 is 222021011020122.

It is a happy number.

221020110120222 is a `hidden beast` number, since 2 + 210 + 2 + 0 + 110 + 120 + 222 = 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 = 221020110120195 and 221020110120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3261629713 + ... + 3261697475.

It is an arithmetic number, because the mean of its divisors is an integer number (5708756495520).

Almost surely, 2221020110120222 is an apocalyptic number.

221020110120222 is an abundant number, since it is smaller than the sum of its proper divisors (327020513449698).

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

221020110120222 is a wasteful number, since it uses less digits than its factorization.

221020110120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102998 (or 102995 counting only the distinct ones).

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

Adding to 221020110120222 its reverse (222021011020122), we get a palindrome (443041121140344).

The spelling of 221020110120222 in words is "two hundred twenty-one trillion, twenty billion, one hundred ten million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 751 1502 2253 4506 5257 6759 10514 13518 15771 31542 34469 47313 67763 68938 94626 103407 135526 203289 206814 241283 310221 406578 474341 482566 609867 620442 723849 948682 1219734 1423023 1447698 2171547 2846046 4269069 4343094 8538138 25886219 50890013 51772438 77658657 101780026 152670039 155317314 181203533 232975971 305340078 356230091 362407066 458010117 465951942 543610599 712460182 916020234 1068690273 1087221198 1630831797 2137380546 2335722847 3206070819 3261663594 4671445694 6412141638 7007168541 14014337082 16350059929 21021505623 32700119858 42043011246 49050179787 98100359574 147150539361 294301078722 1754127858097 3508255716194 5262383574291 10524767148582 12278895006679 15787150722873 24557790013358 31574301445746 36836685020037 73673370040074 110510055060111 221020110120222