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110031330331 = 131911316272423
BaseRepresentation
bin110011001111001100…
…0001101110000011011
3101112000021100201111201
41212132120031300123
53300321010032311
6122314145135031
710643451606346
oct1463630156033
9345007321451
10110031330331
11427338aa04a
12193a932a477
13a4b6b49570
14547b41b45d
152cdec359c1
hex199e60dc1b

110031330331 has 32 divisors (see below), whose sum is σ = 125965002240. Its totient is φ = 95272257024.

The previous prime is 110031330319. The next prime is 110031330371. The reversal of 110031330331 is 133033130011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110031330331 - 211 = 110031328283 is a prime.

It is a super-2 number, since 2×1100313303312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 110031330299 and 110031330308.

It is not an unprimeable number, because it can be changed into a prime (110031330371) 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 31 ways as a sum of consecutive naturals, for example, 45409986 + ... + 45412408.

It is an arithmetic number, because the mean of its divisors is an integer number (3936406320).

Almost surely, 2110031330331 is an apocalyptic number.

110031330331 is a deficient number, since it is larger than the sum of its proper divisors (15933671909).

110031330331 is a wasteful number, since it uses less digits than its factorization.

110031330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 110031330331 its reverse (133033130011), we get a palindrome (243064460342).

The spelling of 110031330331 in words is "one hundred ten billion, thirty-one million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 13 19 113 247 1469 1627 2147 2423 21151 27911 30913 31499 46037 183851 273799 401869 598481 2390063 3493169 3559387 3942221 5202181 45411197 51248873 67628353 74902199 445470973 973728587 5791122649 8463948487 110031330331