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110368098774 = 2335328532
BaseRepresentation
bin110011011001001110…
…0111000100111010110
3101112212202001022222000
41212302130320213112
53302013213130044
6122411415220130
710655011234503
oct1466234704726
9345782038860
10110368098774
1142896a0717a
1219482077646
13a53b84c02b
1454b00424aa
152d0e5a8d69
hex19b27389d6

110368098774 has 72 divisors (see below), whose sum is σ = 250270748280. Its totient is φ = 36052911648.

The previous prime is 110368098769. The next prime is 110368098803. The reversal of 110368098774 is 477890863011.

It is a super-2 number, since 2×1103680987742 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 110368098774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129387732 + ... + 129388584.

It is an arithmetic number, because the mean of its divisors is an integer number (3475982615).

Almost surely, 2110368098774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110368098774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125135374140).

110368098774 is an abundant number, since it is smaller than the sum of its proper divisors (139902649506).

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

110368098774 is an frugal number, since it uses more digits than its factorization.

110368098774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

Multiplying 110368098774 by its sum of digits (54), we get a square (5959877333796 = 24412862).

110368098774 divided by its sum of digits (54) gives a square (2043853681 = 452092).

The spelling of 110368098774 in words is "one hundred ten billion, three hundred sixty-eight million, ninety-eight thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 853 954 1431 1706 2559 2809 2862 5118 5618 7677 8427 15354 16854 23031 25281 45209 46062 50562 75843 90418 135627 151686 271254 406881 727609 813762 1220643 1455218 2182827 2396077 2441286 4365654 4792154 6548481 7188231 13096962 14376462 19645443 21564693 38563277 39290886 43129386 64694079 77126554 115689831 129388158 231379662 347069493 694138986 1041208479 2043853681 2082416958 4087707362 6131561043 12263122086 18394683129 36789366258 55184049387 110368098774