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110122022112 = 2531147104397
BaseRepresentation
bin110011010001111001…
…0001011010011100000
3101112020121000100020120
41212203302023103200
53301012214201422
6122331145040240
710645632513024
oct1464362132340
9345217010216
10110122022112
1142780013133
1219413786080
13a4cc88133b
1454894a8384
152ce7b9c45c
hex19a3c8b4e0

110122022112 has 24 divisors (see below), whose sum is σ = 289070308296. Its totient is φ = 36707340672.

The previous prime is 110122022093. The next prime is 110122022117. The reversal of 110122022112 is 211220221011.

110122022112 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 110122022091 and 110122022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122022117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 573552103 + ... + 573552294.

It is an arithmetic number, because the mean of its divisors is an integer number (12044596179).

Almost surely, 2110122022112 is an apocalyptic number.

110122022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110122022112 is an abundant number, since it is smaller than the sum of its proper divisors (178948286184).

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

110122022112 is a wasteful number, since it uses less digits than its factorization.

110122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147104410 (or 1147104402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110122022112 its reverse (211220221011), we get a palindrome (321342243123).

The spelling of 110122022112 in words is "one hundred ten billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1147104397 2294208794 3441313191 4588417588 6882626382 9176835176 13765252764 18353670352 27530505528 36707340704 55061011056 110122022112