Search a number
-
+
112012120002222 = 232111314318456319
BaseRepresentation
bin11001011101111111011010…
…100111111000111010101110
3112200121020212020022112112100
4121131333122213320322232
5104140201310210032342
61034121354010315530
732410415516402226
oct3135773247707256
9480536766275470
10112012120002222
1132766089656040
1210690848428ba6
134a6690b7c527b
141d935b6329086
15ce3a5b766e4c
hex65dfda9f8eae

112012120002222 has 48 divisors (see below), whose sum is σ = 266776957624320. Its totient is φ = 33683959280400.

The previous prime is 112012120002193. The next prime is 112012120002227. The reversal of 112012120002222 is 222200021210211.

It is a happy number.

112012120002222 is a `hidden beast` number, since 1 + 120 + 121 + 200 + 0 + 2 + 222 = 666.

It is a super-2 number, since 2×1120121200022222 (a number of 29 digits) contains 22 as substring.

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 = 112012120002195 and 112012120002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012120002227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2159202222 + ... + 2159254097.

It is an arithmetic number, because the mean of its divisors is an integer number (5557853283840).

Almost surely, 2112012120002222 is an apocalyptic number.

112012120002222 is an abundant number, since it is smaller than the sum of its proper divisors (154764837622098).

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

112012120002222 is a wasteful number, since it uses less digits than its factorization.

112012120002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318456469 (or 4318456466 counting only the distinct ones).

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

Adding to 112012120002222 its reverse (222200021210211), we get a palindrome (334212141212433).

The spelling of 112012120002222 in words is "one hundred twelve trillion, twelve billion, one hundred twenty million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 12969 25938 4318456319 8636912638 12955368957 25910737914 38866106871 47503019509 77732213742 95006039018 142509058527 285018117054 427527175581 565717777789 855054351162 1131435555578 1697153333367 3394306666734 5091460000101 6222895555679 10182920000202 12445791111358 18668686667037 37337373334074 56006060001111 112012120002222