Search a number
-
+
2145210531200 = 275211533593203
BaseRepresentation
bin11111001101111000100…
…000101111110110000000
321121002011102002010210022
4133031320200233312000
5240121342343444300
64321255054353012
7310662213440312
oct37157040576600
97532142063708
102145210531200
11757862468160
122a790a7bb768
131273a5788809
1475b861037b2
153ac06390285
hex1f37882fd80

2145210531200 has 384 divisors, whose sum is σ = 5908427193600. Its totient is φ = 762987929600.

The previous prime is 2145210531199. The next prime is 2145210531203. The reversal of 2145210531200 is 21350125412.

It is a self number, because there is not a number n which added to its sum of digits gives 2145210531200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145210531203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669748799 + ... + 669752001.

It is an arithmetic number, because the mean of its divisors is an integer number (15386529150).

Almost surely, 22145210531200 is an apocalyptic number.

2145210531200 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 2145210531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954213596800).

2145210531200 is an abundant number, since it is smaller than the sum of its proper divisors (3763216662400).

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

2145210531200 is a wasteful number, since it uses less digits than its factorization.

2145210531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 2145210531200 its reverse (21350125412), we get a palindrome (2166560656612).

The spelling of 2145210531200 in words is "two trillion, one hundred forty-five billion, two hundred ten million, five hundred thirty-one thousand, two hundred".