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112123012221 = 32111132555679
BaseRepresentation
bin110100001101100001…
…1010110010001111101
3101201102001020011122100
41220123003112101331
53314111442342341
6123301505135313
711046340610313
oct1503303262175
9351361204570
10112123012221
1143607576670
121989192a539
13a75b2b425c
1455d91400b3
152db36a83b6
hex1a1b0d647d

112123012221 has 12 divisors (see below), whose sum is σ = 176678686080. Its totient is φ = 67953340680.

The previous prime is 112123012217. The next prime is 112123012229. The reversal of 112123012221 is 122210321211.

It is not a de Polignac number, because 112123012221 - 22 = 112123012217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112123012194 and 112123012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566277741 + ... + 566277938.

It is an arithmetic number, because the mean of its divisors is an integer number (14723223840).

Almost surely, 2112123012221 is an apocalyptic number.

112123012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112123012221 is a deficient number, since it is larger than the sum of its proper divisors (64555673859).

112123012221 is a wasteful number, since it uses less digits than its factorization.

112123012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132555696 (or 1132555693 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112123012221 its reverse (122210321211), we get a palindrome (234333333432).

The spelling of 112123012221 in words is "one hundred twelve billion, one hundred twenty-three million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 1132555679 3397667037 10193001111 12458112469 37374337407 112123012221