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110313120030 = 23523661241867
BaseRepresentation
bin110011010111100101…
…1001010000100011110
3101112201220121010022020
41212233023022010132
53301410124320110
6122402133001010
710653443022561
oct1465713120436
9345656533266
10110313120030
11428689758a3
1219467783166
13a53033c729
1454a6a104d8
152d09848d70
hex19af2ca11e

110313120030 has 64 divisors (see below), whose sum is σ = 276681512448. Its totient is φ = 28095154560.

The previous prime is 110313120017. The next prime is 110313120101. The reversal of 110313120030 is 30021313011.

110313120030 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 110313119991 and 110313120009.

It is a congruent number.

It is an unprimeable number.

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, 335157 + ... + 577023.

It is an arithmetic number, because the mean of its divisors is an integer number (4323148632).

Almost surely, 2110313120030 is an apocalyptic number.

110313120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110313120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138340756224).

110313120030 is an abundant number, since it is smaller than the sum of its proper divisors (166368392418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110313120030 is a wasteful number, since it uses less digits than its factorization.

110313120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242561.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 110313120030 its reverse (30021313011), we get a palindrome (140334433041).

The spelling of 110313120030 in words is "one hundred ten billion, three hundred thirteen million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 661 690 1322 1983 3305 3966 6610 9915 15203 19830 30406 45609 76015 91218 152030 228045 241867 456090 483734 725601 1209335 1451202 2418670 3628005 5562941 7256010 11125882 16688823 27814705 33377646 55629410 83444115 159874087 166888230 319748174 479622261 799370435 959244522 1598740870 2398111305 3677104001 4796222610 7354208002 11031312003 18385520005 22062624006 36771040010 55156560015 110313120030