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2142431300 = 225221424313
BaseRepresentation
bin111111110110010…
…1110100001000100
312112022100210020102
41333230232201010
513341430300200
6552331423232
7104043236252
oct17754564104
95468323212
102142431300
119aa38a389
124b95b4b18
13281b26239
141647735d2
15c81496d5
hex7fb2e844

2142431300 has 18 divisors (see below), whose sum is σ = 4649076138. Its totient is φ = 856972480.

The previous prime is 2142431281. The next prime is 2142431303. The reversal of 2142431300 is 31342412.

It can be written as a sum of positive squares in 3 ways, for example, as 737231104 + 1405200196 = 27152^2 + 37486^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2142431303) 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 5 ways as a sum of consecutive naturals, for example, 10712057 + ... + 10712256.

Almost surely, 22142431300 is an apocalyptic number.

2142431300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142431300 is an abundant number, since it is smaller than the sum of its proper divisors (2506644838).

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

2142431300 is a wasteful number, since it uses less digits than its factorization.

2142431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21424327 (or 21424320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2142431300 is about 46286.4051315286. The cubic root of 2142431300 is about 1289.1465821395.

Adding to 2142431300 its reverse (31342412), we get a palindrome (2173773712).

The spelling of 2142431300 in words is "two billion, one hundred forty-two million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21424313 42848626 85697252 107121565 214243130 428486260 535607825 1071215650 2142431300