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2142113320 = 235214125013
BaseRepresentation
bin111111110101110…
…0000111000101000
312112021202122001101
41333223200320220
513341340111240
6552320531144
7104040443224
oct17753407050
95467678041
102142113320
119aa192496
124b9480ab4
13281a44599
141646cd784
15c80d539a
hex7fae0e28

2142113320 has 32 divisors (see below), whose sum is σ = 4822198920. Its totient is φ = 856410880.

The previous prime is 2142113291. The next prime is 2142113329. The reversal of 2142113320 is 233112412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2081366884 + 60746436 = 45622^2 + 7794^2 .

It is not an unprimeable number, because it can be changed into a prime (2142113329) 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 7 ways as a sum of consecutive naturals, for example, 73134 + ... + 98146.

Almost surely, 22142113320 is an apocalyptic number.

2142113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142113320 is an abundant number, since it is smaller than the sum of its proper divisors (2680085600).

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

2142113320 is a wasteful number, since it uses less digits than its factorization.

2142113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27165 (or 27161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2142113320 is about 46282.9700861991. The cubic root of 2142113320 is about 1289.0828005359.

Adding to 2142113320 its reverse (233112412), we get a palindrome (2375225732).

The spelling of 2142113320 in words is "two billion, one hundred forty-two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2141 4282 8564 10705 17128 21410 25013 42820 50026 85640 100052 125065 200104 250130 500260 1000520 53552833 107105666 214211332 267764165 428422664 535528330 1071056660 2142113320