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2142142110 = 232537962801
BaseRepresentation
bin111111110101110…
…0111111010011110
312112021211002112200
41333223213322132
513341342021420
6552321312330
7104040623163
oct17753477236
95467732480
102142142110
119aa202089
124b94956a6
13281a54714
141646da06a
15c80ddb90
hex7fae7e9e

2142142110 has 48 divisors (see below), whose sum is σ = 5584353840. Its totient is φ = 569721600.

The previous prime is 2142142081. The next prime is 2142142111. The reversal of 2142142110 is 112412412.

2142142110 is a `hidden beast` number, since 214 + 21 + 421 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142142111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2710 + ... + 65510.

It is an arithmetic number, because the mean of its divisors is an integer number (116340705).

Almost surely, 22142142110 is an apocalyptic number.

2142142110 is an abundant number, since it is smaller than the sum of its proper divisors (3442211730).

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

2142142110 is a wasteful number, since it uses less digits than its factorization.

2142142110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63193 (or 63190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2142142110 is about 46283.2811066804. The cubic root of 2142142110 is about 1289.0885756004.

Adding to 2142142110 its reverse (112412412), we get a palindrome (2254554522).

The spelling of 2142142110 in words is "two billion, one hundred forty-two million, one hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 379 758 1137 1895 2274 3411 3790 5685 6822 11370 17055 34110 62801 125602 188403 314005 376806 565209 628010 942015 1130418 1884030 2826045 5652090 23801579 47603158 71404737 119007895 142809474 214214211 238015790 357023685 428428422 714047370 1071071055 2142142110