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110112100033 = 1347971857899
BaseRepresentation
bin110011010001100110…
…0010100111011000001
3101112012220100020201011
41212203030110323001
53301002144200113
6122330152240521
710645452256465
oct1464314247301
9345186306634
10110112100033
1142775456571
12194103a0141
13a4ca7b90a0
1454880444a5
152ce6d8c63d
hex19a3314ec1

110112100033 has 16 divisors (see below), whose sum is σ = 122353862400. Its totient is φ = 98453730816.

The previous prime is 110112100031. The next prime is 110112100061. The reversal of 110112100033 is 330001211011.

It is a cyclic number.

It is not a de Polignac number, because 110112100033 - 21 = 110112100031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110112099986 and 110112100022.

It is not an unprimeable number, because it can be changed into a prime (110112100031) 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 15 ways as a sum of consecutive naturals, for example, 869683 + ... + 988216.

It is an arithmetic number, because the mean of its divisors is an integer number (7647116400).

Almost surely, 2110112100033 is an apocalyptic number.

110112100033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110112100033 is a deficient number, since it is larger than the sum of its proper divisors (12241762367).

110112100033 is a wasteful number, since it uses less digits than its factorization.

110112100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858056.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 110112100033 its reverse (330001211011), we get a palindrome (440113311044).

The spelling of 110112100033 in words is "one hundred ten billion, one hundred twelve million, one hundred thousand, thirty-three".

Divisors: 1 13 47 97 611 1261 4559 59267 1857899 24152687 87321253 180216203 1135176289 2342810639 8470161541 110112100033