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110300111032023 = 321110910221491153
BaseRepresentation
bin11001000101000100111110…
…111011111100111011010111
3112110112120212101101211011100
4121011010332323330323113
5103424124111411011043
61030331101012441143
732142630401302563
oct3105047673747327
9473476771354140
10110300111032023
11321660181834a0
1210454a980191b3
134971343107093
141d347a7b066a3
15cb425ba04cd3
hex64513eefced7

110300111032023 has 24 divisors (see below), whose sum is σ = 175400788202640. Its totient is φ = 66235262664960.

The previous prime is 110300111031941. The next prime is 110300111032031. The reversal of 110300111032023 is 320230111003011.

110300111032023 is a `hidden beast` number, since 1 + 1 + 0 + 300 + 11 + 10 + 320 + 23 = 666.

It is not a de Polignac number, because 110300111032023 - 213 = 110300111023831 is a prime.

It is a super-2 number, since 2×1103001110320232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110300111031987 and 110300111032005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110300111032043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5110734786 + ... + 5110756367.

It is an arithmetic number, because the mean of its divisors is an integer number (7308366175110).

Almost surely, 2110300111032023 is an apocalyptic number.

110300111032023 is a deficient number, since it is larger than the sum of its proper divisors (65100677170617).

110300111032023 is a wasteful number, since it uses less digits than its factorization.

110300111032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221491279 (or 10221491276 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110300111032023 its reverse (320230111003011), we get a palindrome (430530222035034).

The spelling of 110300111032023 in words is "one hundred ten trillion, three hundred billion, one hundred eleven million, thirty-two thousand, twenty-three".

Divisors: 1 3 9 11 33 99 109 327 981 1199 3597 10791 10221491153 30664473459 91993420377 112436402683 337309208049 1011927624147 1114142535677 3342427607031 10027282821093 12255567892447 36766703677341 110300111032023