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3114141100 = 2252725991061
BaseRepresentation
bin1011100110011110…
…0000010110101100
322001000210202111021
42321213200112230
522334210003400
61233002503524
7140112522400
oct27147402654
98030722437
103114141100
111358940334
1272ab04ba4
133a8239755
14217839100
151335dd71a
hexb99e05ac

3114141100 has 108 divisors (see below), whose sum is σ = 7881526800. Its totient is φ = 1064918400.

The previous prime is 3114141083. The next prime is 3114141119. The reversal of 3114141100 is 11414113.

3114141100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2934570 + ... + 2935630.

It is an arithmetic number, because the mean of its divisors is an integer number (72977100).

Almost surely, 23114141100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940763400).

3114141100 is an abundant number, since it is smaller than the sum of its proper divisors (4767385700).

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

3114141100 is a wasteful number, since it uses less digits than its factorization.

3114141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 3114141100 is about 55804.4899627261. The cubic root of 3114141100 is about 1460.3134843210.

Adding to 3114141100 its reverse (11414113), we get a palindrome (3125555213).

The spelling of 3114141100 in words is "three billion, one hundred fourteen million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 599 700 980 1061 1198 1225 2122 2396 2450 2995 4193 4244 4900 5305 5990 7427 8386 10610 11980 14854 14975 16772 20965 21220 26525 29351 29708 29950 37135 41930 51989 53050 58702 59900 74270 83860 103978 104825 106100 117404 146755 148540 185675 207956 209650 259945 293510 371350 419300 519890 587020 635539 733775 742700 1039780 1271078 1299725 1467550 2542156 2599450 2935100 3177695 4448773 5198900 6355390 8897546 12710780 15888475 17795092 22243865 31141411 31776950 44487730 62282822 63553900 88975460 111219325 124565644 155707055 222438650 311414110 444877300 622828220 778535275 1557070550 3114141100