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110101131321 = 31193122925031
BaseRepresentation
bin110011010001010001…
…0011111000000111001
3101112012010200222110120
41212202202133000321
53300441342200241
6122325121203453
710645260113646
oct1464242370071
9345163628416
10110101131321
114276a244615
1219408790589
13a4c844861c
1454867cadcd
152ce5e22666
hex19a289f039

110101131321 has 16 divisors (see below), whose sum is σ = 147049983360. Its totient is φ = 73276626560.

The previous prime is 110101131317. The next prime is 110101131337. The reversal of 110101131321 is 123131101011.

It is a cyclic number.

It is not a de Polignac number, because 110101131321 - 22 = 110101131317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101131321.

It is not an unprimeable number, because it can be changed into a prime (110101138321) 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, 4386076 + ... + 4411106.

It is an arithmetic number, because the mean of its divisors is an integer number (9190623960).

Almost surely, 2110101131321 is an apocalyptic number.

It is an amenable number.

110101131321 is a deficient number, since it is larger than the sum of its proper divisors (36948852039).

110101131321 is a wasteful number, since it uses less digits than its factorization.

110101131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27456.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 110101131321 its reverse (123131101011), we get a palindrome (233232232332).

The spelling of 110101131321 in words is "one hundred ten billion, one hundred one million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 1193 1229 3579 3687 25031 75093 1466197 4398591 29861983 30763099 89585949 92289297 36700377107 110101131321