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12141142110 = 2335172645129
BaseRepresentation
bin10110100111010101…
…10010000001011110
31011100010200220221000
423103222302001132
5144331113021420
65324430451130
7606604001526
oct132352620136
934303626830
1012141142110
1151703a3849
12242a063aa6
1311b6481976
1483267c686
154b0d50690
hex2d3ab205e

12141142110 has 64 divisors (see below), whose sum is σ = 34280884800. Its totient is φ = 3047187456.

The previous prime is 12141142067. The next prime is 12141142129. The reversal of 12141142110 is 1124114121.

12141142110 is digitally balanced in base 2, because in such base 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317975 + ... + 1327154.

It is an arithmetic number, because the mean of its divisors is an integer number (535638825).

Almost surely, 212141142110 is an apocalyptic number.

12141142110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12141142110 is an abundant number, since it is smaller than the sum of its proper divisors (22139742690).

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

12141142110 is a wasteful number, since it uses less digits than its factorization.

12141142110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645162 (or 2645156 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12141142110 its reverse (1124114121), we get a palindrome (13265256231).

The spelling of 12141142110 in words is "twelve billion, one hundred forty-one million, one hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 2645129 5290258 7935387 13225645 15870774 23806161 26451290 39676935 44967193 47612322 71418483 79353870 89934386 119030805 134901579 142836966 224835965 238061610 269803158 357092415 404704737 449671930 674507895 714184830 809409474 1214114211 1349015790 2023523685 2428228422 4047047370 6070571055 12141142110