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112022220220011 = 321719144472667359
BaseRepresentation
bin11001011110001000110100…
…101001001010011001101011
3112200122012221010122202121200
4121132020310221022121223
5104140333001334020021
61034130144133135243
732411224022004303
oct3136106451123153
9480565833582550
10112022220220011
113276a3a19a0172
12106927a6a8a523
134a6785b1a13ba
141d93c938d8603
15ce3e4d31e126
hex65e234a4a66b

112022220220011 has 48 divisors (see below), whose sum is σ = 180357920870400. Its totient is φ = 66584425538304.

The previous prime is 112022220220003. The next prime is 112022220220073. The reversal of 112022220220011 is 110022022220211.

It is a happy number.

112022220220011 is a `hidden beast` number, since 11 + 20 + 222 + 202 + 200 + 11 = 666.

It is not a de Polignac number, because 112022220220011 - 23 = 112022220220003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112022220220081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40663750 + ... + 43331108.

It is an arithmetic number, because the mean of its divisors is an integer number (3757456684800).

Almost surely, 2112022220220011 is an apocalyptic number.

112022220220011 is a deficient number, since it is larger than the sum of its proper divisors (68335700650389).

112022220220011 is a wasteful number, since it uses less digits than its factorization.

112022220220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681848 (or 2681845 counting only the distinct ones).

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

Adding to 112022220220011 its reverse (110022022220211), we get a palindrome (222044242440222).

The spelling of 112022220220011 in words is "one hundred twelve trillion, twenty-two billion, two hundred twenty million, two hundred twenty thousand, eleven".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 14447 43341 130023 245599 274493 736797 823479 2210391 2470437 2667359 4666381 8002077 13999143 24006231 41997429 45345103 50679821 136035309 152039463 408105927 456118389 861556957 2584670871 7754012613 38535335473 115606006419 346818019257 655100703041 732171373987 1965302109123 2196514121961 5895906327369 6589542365883 12446913357779 37340740073337 112022220220011