Search a number
-
+
110110122331 = 11210121142701
BaseRepresentation
bin110011010001100010…
…0110010000101011011
3101112012202121202210221
41212203010302011123
53301001142403311
6122330042020511
710645426411546
oct1464304620533
9345182552727
10110110122331
1142774325700
121940b7a7737
13a4ca275b51
145487a8b85d
152ce6aeb671
hex19a313215b

110110122331 has 24 divisors (see below), whose sum is σ = 122810610384. Its totient is φ = 98637000000.

The previous prime is 110110122319. The next prime is 110110122341. The reversal of 110110122331 is 133221011011.

It is a happy number.

It is not a de Polignac number, because 110110122331 - 29 = 110110121819 is a prime.

It is a super-2 number, since 2×1101101223312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110110122341) 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 23 ways as a sum of consecutive naturals, for example, 2557281 + ... + 2599981.

It is an arithmetic number, because the mean of its divisors is an integer number (5117108766).

Almost surely, 2110110122331 is an apocalyptic number.

110110122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110110122331 is a deficient number, since it is larger than the sum of its proper divisors (12700488053).

110110122331 is a wasteful number, since it uses less digits than its factorization.

110110122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43035 (or 43024 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110110122331 its reverse (133221011011), we get a palindrome (243331133342).

The spelling of 110110122331 in words is "one hundred ten billion, one hundred ten million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 11 101 121 211 1111 2321 12221 21311 25531 42701 234421 469711 2578631 4312801 5166821 9009911 47440811 99109021 521848921 910001011 1090199231 10010011121 110110122331