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112002121220022 = 232111747497700561
BaseRepresentation
bin11001011101110110000110…
…101001100011111110110110
3112200120022001101211202220200
4121131312012221203332312
5104140020321013020042
61034113021505541330
732406612655221555
oct3135660651437666
9480508041752820
10112002121220022
11327619185a2a80
121068a917944846
134a659a71431b7
141d92d08401d9c
15ce3673a49c4c
hex65dd86a63fb6

112002121220022 has 96 divisors (see below), whose sum is σ = 280311075611424. Its totient is φ = 31942845849600.

The previous prime is 112002121219999. The next prime is 112002121220053. The reversal of 112002121220022 is 220022121200211.

It is a happy number.

112002121220022 is a `hidden beast` number, since 11 + 200 + 21 + 212 + 200 + 22 = 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 = 112002121219977 and 112002121220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159524622 + ... + 160225182.

It is an arithmetic number, because the mean of its divisors is an integer number (2919907037619).

Almost surely, 2112002121220022 is an apocalyptic number.

112002121220022 is an abundant number, since it is smaller than the sum of its proper divisors (168308954391402).

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

112002121220022 is a wasteful number, since it uses less digits than its factorization.

112002121220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748094 (or 748091 counting only the distinct ones).

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

Adding to 112002121220022 its reverse (220022121200211), we get a palindrome (332024242420233).

The spelling of 112002121220022 in words is "one hundred twelve trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 47497 94994 142491 284982 427473 522467 700561 807449 854946 1044934 1401122 1567401 1614898 2101683 2422347 3134802 4203366 4702203 4844694 6305049 7267041 7706171 8881939 9404406 11909537 12610098 14534082 15412342 17763878 23118513 23819074 26645817 35728611 46237026 53291634 69355539 71457222 79937451 107185833 131004907 138711078 159874902 214371666 262009814 393014721 786029442 1179044163 2358088326 33274545817 66549091634 99823637451 199647274902 299470912353 366020003987 565667278889 598941824706 732040007974 1098060011961 1131334557778 1697001836667 2196120023922 3294180035883 3394003673334 5091005510001 6222340067779 6588360071766 10182011020002 12444680135558 18667020203337 37334040406674 56001060610011 112002121220022