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112211102120220 = 223253120109516509
BaseRepresentation
bin11001100000111000101110…
…111000011011100100011100
3112201022021110122021110102100
4121200320232320123210130
5104201431314120321340
61034353022455525100
732430661500450225
oct3140705670334434
9481267418243370
10112211102120220
113283250889a444
121070331b089790
134a7c5ccc85bac
141d9d09116624c
15ce8d05676830
hex660e2ee1b91c

112211102120220 has 72 divisors (see below), whose sum is σ = 351353472462720. Its totient is φ = 28957703771520.

The previous prime is 112211102120213. The next prime is 112211102120263. The reversal of 112211102120220 is 22021201112211.

112211102120220 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 10 + 212 + 0 + 220 = 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 = 112211102120193 and 112211102120202.

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 23 ways as a sum of consecutive naturals, for example, 10054752675 + ... + 10054763834.

It is an arithmetic number, because the mean of its divisors is an integer number (4879909339760).

Almost surely, 2112211102120220 is an apocalyptic number.

112211102120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211102120220 is an abundant number, since it is smaller than the sum of its proper divisors (239142370342500).

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

112211102120220 is a wasteful number, since it uses less digits than its factorization.

112211102120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109516555 (or 20109516550 counting only the distinct ones).

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

Adding to 112211102120220 its reverse (22021201112211), we get a palindrome (134232303232431).

The spelling of 112211102120220 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 20109516509 40219033018 60328549527 80438066036 100547582545 120657099054 180985648581 201095165090 241314198108 301642747635 361971297162 402190330180 603285495270 623395011779 723942594324 904928242905 1206570990540 1246790023558 1809856485810 1870185035337 2493580047116 3116975058895 3619712971620 3740370070674 5610555106011 6233950117790 7480740141348 9350925176685 11221110212022 12467900235580 18701850353370 22442220424044 28052775530055 37403700706740 56105551060110 112211102120220