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103311112123323 = 361322348884513
BaseRepresentation
bin10111011111010111111110…
…001000111011001110111011
3111112210110001000221012000000
4113133113332020323032323
5102020122124200421243
61003420245242444043
730521660444622006
oct2737277610731673
9445713030835000
10103311112123323
112aa10aa6529945
12b706476503623
1345852719c8a40
141b723da98653d
15be255c00d5d3
hex5df5fe23b3bb

103311112123323 has 56 divisors (see below), whose sum is σ = 167558906643072. Its totient is φ = 63290973224448.

The previous prime is 103311112123319. The next prime is 103311112123339. The reversal of 103311112123323 is 323321211113301.

103311112123323 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 111 + 212 + 332 + 3 = 666.

It is not a de Polignac number, because 103311112123323 - 22 = 103311112123319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103311112123343) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22328886 + ... + 26555627.

It is an arithmetic number, because the mean of its divisors is an integer number (2992123332912).

Almost surely, 2103311112123323 is an apocalyptic number.

103311112123323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103311112123323 is a deficient number, since it is larger than the sum of its proper divisors (64247794519749).

103311112123323 is an equidigital number, since it uses as much as digits as its factorization.

103311112123323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48884767 (or 48884752 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 103311112123323 its reverse (323321211113301), we get a palindrome (426632323236624).

The spelling of 103311112123323 in words is "one hundred three trillion, three hundred eleven billion, one hundred twelve million, one hundred twenty-three thousand, three hundred twenty-three".

Divisors: 1 3 9 13 27 39 81 117 223 243 351 669 729 1053 2007 2899 3159 6021 8697 9477 18063 26091 54189 78273 162567 234819 704457 2113371 48884513 146653539 439960617 635498669 1319881851 1906496007 3959645553 5719488021 10901246399 11878936659 17158464063 32703739197 35636809977 51475392189 98111217591 141716203187 154426176567 294333652773 425148609561 463278529701 883000958319 1275445828683 2649002874957 3826337486049 7947008624871 11479012458147 34437037374441 103311112123323