Search a number
-
+
2130120000 = 2632546197
BaseRepresentation
bin111111011110111…
…0000110101000000
312111110012022022100
41332331300311000
513330302320000
6551211510400
7103533502251
oct17675606500
95443168270
102130120000
119a3440758
124b5458400
1327c405648
14162c8ab28
15c7016a00
hex7ef70d40

2130120000 has 420 divisors, whose sum is σ = 7834582756. Its totient is φ = 552960000.

The previous prime is 2130119989. The next prime is 2130120049. The reversal of 2130120000 is 210312.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2066247936 + 63872064 = 45456^2 + 7992^2 .

It is a super-2 number, since 2×21301200002 = 9074822428800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 21959952 + ... + 21960048.

Almost surely, 22130120000 is an apocalyptic number.

2130120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917291378).

2130120000 is an abundant number, since it is smaller than the sum of its proper divisors (5704462756).

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

2130120000 is an equidigital number, since it uses as much as digits as its factorization.

2130120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2130120000 is about 46153.2230727173. The cubic root of 2130120000 is about 1286.6725131804.

Adding to 2130120000 its reverse (210312), we get a palindrome (2130330312).

The spelling of 2130120000 in words is "two billion, one hundred thirty million, one hundred twenty thousand".