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14115345100 = 22521961121789
BaseRepresentation
bin11010010010101011…
…10001001011001100
31100102201111211022021
431021111301023030
5212402012020400
610252352455524
71006535311423
oct151125611314
940381454267
1014115345100
115a9382076a
12289b24a5a4
13143c49610c
1497c9402ba
1557931971a
hex3495712cc

14115345100 has 72 divisors (see below), whose sum is σ = 32771253200. Its totient is φ = 5261241600.

The previous prime is 14115345061. The next prime is 14115345109. The reversal of 14115345100 is 154351141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14115345109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55006 + ... + 176794.

Almost surely, 214115345100 is an apocalyptic number.

14115345100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385626600).

14115345100 is an abundant number, since it is smaller than the sum of its proper divisors (18655908100).

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

14115345100 is a wasteful number, since it uses less digits than its factorization.

14115345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121883 (or 121876 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 14115345100 its reverse (154351141), we get a palindrome (14269696241).

The spelling of 14115345100 in words is "fourteen billion, one hundred fifteen million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 61 76 95 100 122 190 244 305 380 475 610 950 1159 1220 1525 1900 2318 3050 4636 5795 6100 11590 23180 28975 57950 115900 121789 243578 487156 608945 1217890 2313991 2435780 3044725 4627982 6089450 7429129 9255964 11569955 12178900 14858258 23139910 29716516 37145645 46279820 57849775 74291290 115699550 141153451 148582580 185728225 231399100 282306902 371456450 564613804 705767255 742912900 1411534510 2823069020 3528836275 7057672550 14115345100