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2130145200 = 243252837129
BaseRepresentation
bin111111011110111…
…0110111110110000
312111110020120212200
41332331312332300
513330304121300
6551212223200
7103533635601
oct17675667660
95443216780
102130145200
119a3458687
124b546ab00
1327c413c61
14162c95da8
15c701e200
hex7ef76fb0

2130145200 has 180 divisors, whose sum is σ = 7482307560. Its totient is φ = 561116160.

The previous prime is 2130145187. The next prime is 2130145249. The reversal of 2130145200 is 25410312.

2130145200 is a `hidden beast` number, since 2 + 130 + 14 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295236 + ... + 302364.

Almost surely, 22130145200 is an apocalyptic number.

2130145200 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 2130145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741153780).

2130145200 is an abundant number, since it is smaller than the sum of its proper divisors (5352162360).

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

2130145200 is a wasteful number, since it uses less digits than its factorization.

2130145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2130145200 is about 46153.4960755954. The cubic root of 2130145200 is about 1286.6775870759.

Adding to 2130145200 its reverse (25410312), we get a palindrome (2155555512).

The spelling of 2130145200 in words is "two billion, one hundred thirty million, one hundred forty-five thousand, two hundred".