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2130212232000 = 26325361485021
BaseRepresentation
bin11110111111111010100…
…010110001101101000000
321112122110011010121011100
4132333322202301231000
5234400133312411000
64310334521014400
7306621434133426
oct36777242615500
97478404117140
102130212232000
117514662a7a66
122a4a23924400
13125b553b6968
1475162203116
153a6297b4a00
hex1effa8b1b40

2130212232000 has 336 divisors, whose sum is σ = 7745060226384. Its totient is φ = 558743040000.

The previous prime is 2130212231971. The next prime is 2130212232089. The reversal of 2130212232000 is 2322120312.

2130212232000 is a `hidden beast` number, since 2 + 130 + 212 + 2 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1385291336256 + 744920895744 = 1176984^2 + 863088^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4149490 + ... + 4634510.

Almost surely, 22130212232000 is an apocalyptic number.

2130212232000 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 2130212232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872530113192).

2130212232000 is an abundant number, since it is smaller than the sum of its proper divisors (5614847994384).

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

2130212232000 is a wasteful number, since it uses less digits than its factorization.

2130212232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485115 (or 485092 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2130212232000 its reverse (2322120312), we get a palindrome (2132534352312).

The spelling of 2130212232000 in words is "two trillion, one hundred thirty billion, two hundred twelve million, two hundred thirty-two thousand".