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2120312142 = 232139061163
BaseRepresentation
bin111111001100001…
…0110010101001110
312110202202000110100
41332120112111032
513320244442032
6550221351530
7103354233024
oct17630262516
95422660410
102120312142
11998951993
124b21085a6
1327a380390
14161856714
15c622a97c
hex7e61654e

2120312142 has 24 divisors (see below), whose sum is σ = 4947395544. Its totient is φ = 652403664.

The previous prime is 2120312141. The next prime is 2120312153. The reversal of 2120312142 is 2412130212.

It is a happy number.

2120312142 is a `hidden beast` number, since 212 + 0 + 312 + 142 = 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 (2120312141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4530348 + ... + 4530815.

It is an arithmetic number, because the mean of its divisors is an integer number (206141481).

Almost surely, 22120312142 is an apocalyptic number.

2120312142 is an abundant number, since it is smaller than the sum of its proper divisors (2827083402).

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

2120312142 is a wasteful number, since it uses less digits than its factorization.

2120312142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061184 (or 9061181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120312142 is about 46046.8472536394. The cubic root of 2120312142 is about 1284.6947029666.

Adding to 2120312142 its reverse (2412130212), we get a palindrome (4532442354).

The spelling of 2120312142 in words is "two billion, one hundred twenty million, three hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9061163 18122326 27183489 54366978 81550467 117795119 163100934 235590238 353385357 706770714 1060156071 2120312142