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112110011222121 = 321141271090925153
BaseRepresentation
bin11001011111011010100101…
…011001010000100001101001
3112200221121112102220202022100
4121133122211121100201221
5104143302300333101441
61034234343403044013
732420452406134623
oct3137324531204151
9480847472822270
10112110011222121
11327a36526a6470
12106a7807b10609
134a72c0c461623
141d98221295c13
15ce638a7a2cb6
hex65f6a5650869

112110011222121 has 48 divisors (see below), whose sum is σ = 176724228395520. Its totient is φ = 67920070440960.

The previous prime is 112110011222119. The next prime is 112110011222147. The reversal of 112110011222121 is 121222110011211.

It is a happy number.

It is not a de Polignac number, because 112110011222121 - 21 = 112110011222119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112110011222094 and 112110011222103.

It is not an unprimeable number, because it can be changed into a prime (112110011222191) 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, 4457110281 + ... + 4457135433.

It is an arithmetic number, because the mean of its divisors is an integer number (3681754758240).

Almost surely, 2112110011222121 is an apocalyptic number.

112110011222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112110011222121 is a deficient number, since it is larger than the sum of its proper divisors (64614217173399).

112110011222121 is a wasteful number, since it uses less digits than its factorization.

112110011222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40206 (or 40203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112110011222121 its reverse (121222110011211), we get a palindrome (233332121233332).

The spelling of 112110011222121 in words is "one hundred twelve trillion, one hundred ten billion, eleven million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 4127 10909 12381 25153 32727 37143 45397 75459 98181 119999 136191 226377 276683 359997 408573 830049 1079991 2490147 45021443 103806431 135064329 274394077 311419293 405192987 495235873 823182231 934257879 1141870741 1485707619 2469546693 3018334847 3425612223 4457122857 9055004541 10276836669 27165013623 1132424355779 3397273067337 10191819202011 12456667913569 37370003740707 112110011222121