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110201001200220 = 22357499525818309
BaseRepresentation
bin11001000011101000101011…
…100001111100101001011100
3112110012010001020202201010010
4121003220223201330221130
5103421013122301401340
61030213350245043220
732132521353523620
oct3103505341745134
9473163036681103
10110201001200220
1132127a89274997
12104398383b6510
134964ba9b5aba8
141d2da84da3180
15cb18aaa03b80
hex643a2b87ca5c

110201001200220 has 96 divisors (see below), whose sum is σ = 353349904320000. Its totient is φ = 25138321668864.

The previous prime is 110201001200189. The next prime is 110201001200261. The reversal of 110201001200220 is 22002100102011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110201001200196 and 110201001200205.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 262699575 + ... + 263118734.

It is an arithmetic number, because the mean of its divisors is an integer number (3680728170000).

Almost surely, 2110201001200220 is an apocalyptic number.

110201001200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201001200220 is an abundant number, since it is smaller than the sum of its proper divisors (243148903119780).

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

110201001200220 is a wasteful number, since it uses less digits than its factorization.

110201001200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525818827 (or 525818825 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110201001200220 its reverse (22002100102011), we get a palindrome (132203101302231).

The spelling of 110201001200220 in words is "one hundred ten trillion, two hundred one billion, one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 499 998 1497 1996 2495 2994 3493 4990 5988 6986 7485 9980 10479 13972 14970 17465 20958 29940 34930 41916 52395 69860 104790 209580 525818309 1051636618 1577454927 2103273236 2629091545 3154909854 3680728163 5258183090 6309819708 7361456326 7887274635 10516366180 11042184489 14722912652 15774549270 18403640815 22084368978 31549098540 36807281630 44168737956 55210922445 73614563260 110421844890 220843689780 262383336191 524766672382 787150008573 1049533344764 1311916680955 1574300017146 1836683353337 2623833361910 3148600034292 3673366706674 3935750042865 5247666723820 5510050060011 7346733413348 7871500085730 9183416766685 11020100120022 15743000171460 18366833533370 22040200240044 27550250300055 36733667066740 55100500600110 110201001200220