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110030332113 = 32132744934261
BaseRepresentation
bin110011001111001010…
…0011010000011010001
3101112000012111000012200
41212132110122003101
53300320231111423
6122314111513413
710643440251162
oct1463624320321
9345005430180
10110030332113
1142733288079
12193a8b28869
13a4b688a0c0
14547b23b769
152cdead9d43
hex199e51a0d1

110030332113 has 24 divisors (see below), whose sum is σ = 171169525800. Its totient is φ = 67706530560.

The previous prime is 110030332091. The next prime is 110030332151. The reversal of 110030332113 is 311233030011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44347305744 + 65683026369 = 210588^2 + 256287^2 .

It is not a de Polignac number, because 110030332113 - 233 = 101440397521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110030332183) 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, 3194403 + ... + 3228663.

It is an arithmetic number, because the mean of its divisors is an integer number (7132063575).

Almost surely, 2110030332113 is an apocalyptic number.

110030332113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110030332113 is a deficient number, since it is larger than the sum of its proper divisors (61139193687).

110030332113 is a wasteful number, since it uses less digits than its factorization.

110030332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61729 (or 61726 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 110030332113 its reverse (311233030011), we get a palindrome (421263362124).

The spelling of 110030332113 in words is "one hundred ten billion, thirty million, three hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 27449 34261 82347 102783 247041 308349 356837 445393 1070511 1336179 3211533 4008537 940430189 2821290567 8463871701 12225592457 36676777371 110030332113