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112220012112020 = 2251735879194263
BaseRepresentation
bin11001100001000001000001…
…111101010110100010010100
3112201100010110120222221101122
4121201001001331112202110
5104202103041100041040
61034401054543543112
732431425341232551
oct3141010175264224
9481303416887348
10112220012112020
11328362702a412a
1210704ba6bbaa98
134a803bcbb05a7
141d9d69862ba28
15ce91779c41b5
hex661041f56894

112220012112020 has 96 divisors (see below), whose sum is σ = 250431783436800. Its totient is φ = 42240130355712.

The previous prime is 112220012112011. The next prime is 112220012112073. The reversal of 112220012112020 is 20211210022211.

It is a super-2 number, since 2×1122200121120202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 112220012112020.

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 31 ways as a sum of consecutive naturals, for example, 577573409 + ... + 577767671.

It is an arithmetic number, because the mean of its divisors is an integer number (2608664410800).

Almost surely, 2112220012112020 is an apocalyptic number.

112220012112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112220012112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215891718400).

112220012112020 is an abundant number, since it is smaller than the sum of its proper divisors (138211771324780).

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

112220012112020 is a wasteful number, since it uses less digits than its factorization.

112220012112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200202 (or 200166 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112220012112020 its reverse (20211210022211), we get a palindrome (132431222134231).

The spelling of 112220012112020 in words is "one hundred twelve trillion, two hundred twenty billion, twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 4913 5780 5879 9826 11758 19652 23516 24565 29395 49130 58790 98260 99943 117580 194263 199886 388526 399772 499715 777052 971315 999430 1699031 1942630 1998860 3302471 3398062 3885260 6604942 6796124 8495155 13209884 16512355 16990310 28883527 33024710 33980620 56142007 57767054 66049420 112284014 115534108 144417635 224568028 280710035 288835270 561420070 577670540 954414119 1122840140 1142072177 1908828238 2284144354 3817656476 4568288708 4772070595 5710360885 9544141190 11420721770 19088282380 19415227009 22841443540 38830454018 77660908036 97076135045 194152270090 330058859153 388304540180 660117718306 1320235436612 1650294295765 3300588591530 5611000605601 6601177183060 11222001211202 22444002422404 28055003028005 56110006056010 112220012112020