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112220220202002 = 23311281896375011
BaseRepresentation
bin11001100001000001001110…
…010111001001110000010010
3112201100011000002120000012000
4121201001032113021300102
5104202104002332431002
61034401131340014430
732431433446043103
oct3141011627116022
9481304002500160
10112220220202002
1132836367802220
1210705044831416
134a8042403ac63
141d9d6b81183aa
15ce918adca61c
hex66104e5c9c12

112220220202002 has 128 divisors (see below), whose sum is σ = 273051265213440. Its totient is φ = 33880876848000.

The previous prime is 112220220201989. The next prime is 112220220202031. The reversal of 112220220202002 is 200202022022211.

112220220202002 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 220 + 20 + 200 + 2 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 1496012677 + ... + 1496087687.

It is an arithmetic number, because the mean of its divisors is an integer number (2133213009480).

Almost surely, 2112220220202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112220220202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136525632606720).

112220220202002 is an abundant number, since it is smaller than the sum of its proper divisors (160831045011438).

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

112220220202002 is a wasteful number, since it uses less digits than its factorization.

112220220202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84277 (or 84271 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112220220202002 its reverse (200202022022211), we get a palindrome (312422242224213).

The spelling of 112220220202002 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred twenty million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 281 297 562 594 843 1686 2529 3091 5058 6182 7587 8963 9273 15174 17926 18546 26889 27819 53778 55638 75011 80667 83457 98593 150022 161334 166914 197186 225033 242001 295779 450066 484002 591558 675099 825121 887337 1350198 1650242 1774674 2025297 2475363 2518603 2662011 4050594 4950726 5037206 5324022 7426089 7555809 14852178 15111618 21078091 22278267 22667427 27704633 42156182 44556534 45334854 55409266 63234273 68002281 83113899 126468546 136004562 166227798 189702819 231859001 249341697 379405638 463718002 498683394 569108457 672323593 695577003 748025091 1138216914 1344647186 1391154006 1496050182 2016970779 2086731009 4033941558 4173462018 6050912337 6260193027 7395559523 12101824674 12520386054 14791119046 18152737011 22186678569 36305474022 44373357138 66560035707 133120071414 188922929633 199680107121 377845859266 399360214242 566768788899 1133537577798 1700306366697 2078152225963 3400612733394 4156304451926 5100919100091 6234456677889 10201838200182 12468913355778 18703370033667 37406740067334 56110110101001 112220220202002