Search a number
-
+
112010120202222 = 232113721117242727
BaseRepresentation
bin11001011101111101100011…
…011011010000011111101110
3112200121001200212100011122200
4121131331203123100133232
5104140133211232432342
61034120423331522330
732410315124362434
oct3135754333203756
9480531625304580
10112010120202222
1132765252835770
121069038a7593a6
134a666803bac68
141d934668c2d54
15ce3990de394c
hex65df636d07ee

112010120202222 has 96 divisors (see below), whose sum is σ = 272035473076224. Its totient is φ = 33009448017600.

The previous prime is 112010120202221. The next prime is 112010120202269. The reversal of 112010120202222 is 222202021010211.

It is a happy number.

112010120202222 is a `hidden beast` number, since 1 + 120 + 1 + 0 + 120 + 202 + 222 = 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 = 112010120202195 and 112010120202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010120202221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11843823 + ... + 19086549.

It is an arithmetic number, because the mean of its divisors is an integer number (2833702844544).

Almost surely, 2112010120202222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010120202222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136017736538112).

112010120202222 is an abundant number, since it is smaller than the sum of its proper divisors (160025352874002).

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

112010120202222 is a wasteful number, since it uses less digits than its factorization.

112010120202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244894 (or 7244891 counting only the distinct ones).

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

Adding to 112010120202222 its reverse (222202021010211), we get a palindrome (334212141212433).

The spelling of 112010120202222 in words is "one hundred twelve trillion, ten billion, one hundred twenty million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2111 2442 3663 4222 6333 7326 12666 18999 23221 37998 46442 69663 78107 139326 156214 208989 234321 417978 468642 702963 859177 1405926 1718354 2577531 5155062 7242727 7732593 14485454 15465186 21728181 43456362 65184543 79669997 130369086 159339994 239009991 267980899 478019982 535961798 717029973 803942697 1434059946 1607885394 2411828091 2947789889 4823656182 5895579778 8843369667 15289396697 17686739334 26530109001 30578793394 45868190091 53060218002 91736380182 137604570273 168183363667 275209140546 336366727334 504550091001 565707677789 1009100182002 1131415355578 1513650273003 1697123033367 3027300546006 3394246066734 5091369100101 6222784455679 10182738200202 12445568911358 18668353367037 37336706734074 56005060101111 112010120202222