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2142421300 = 225221424213
BaseRepresentation
bin111111110110010…
…1100000100110100
312112022100021112001
41333230230010310
513341424440200
6552331305044
7104043165145
oct17754540464
95468307461
102142421300
119aa382918
124b95ab184
13281b21816
1416476dacc
15c814676a
hex7fb2c134

2142421300 has 18 divisors (see below), whose sum is σ = 4649054438. Its totient is φ = 856968480.

The previous prime is 2142421283. The next prime is 2142421327. The reversal of 2142421300 is 31242412.

It can be written as a sum of positive squares in 3 ways, for example, as 215913636 + 1926507664 = 14694^2 + 43892^2 .

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 5 ways as a sum of consecutive naturals, for example, 10712007 + ... + 10712206.

Almost surely, 22142421300 is an apocalyptic number.

2142421300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142421300 is an abundant number, since it is smaller than the sum of its proper divisors (2506633138).

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

2142421300 is a wasteful number, since it uses less digits than its factorization.

2142421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21424227 (or 21424220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2142421300 is about 46286.2971083235. The cubic root of 2142421300 is about 1289.1445763987.

Adding to 2142421300 its reverse (31242412), we get a palindrome (2173663712).

It can be divided in two parts, 21424 and 21300, that added together give a palindrome (42724).

The spelling of 2142421300 in words is "two billion, one hundred forty-two million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21424213 42848426 85696852 107121065 214242130 428484260 535605325 1071210650 2142421300