Search a number
-
+
210002221011000 = 2335311371011702891
BaseRepresentation
bin101111101111111011110011…
…110010010001000000111000
31000112120000102212002100201110
4233233323303302101000320
5210011134022034323000
62022345404414320320
762143105543160625
oct5757736362210070
91015500385070643
10210002221011000
1160a05495017850
121b677a06ab90a0
1390241805c43a2
1439c0239add34c
15194298de9e850
hexbefef3c91038

210002221011000 has 512 divisors, whose sum is σ = 741357982909440. Its totient is φ = 49043232000000.

The previous prime is 210002221010947. The next prime is 210002221011047. The reversal of 210002221011000 is 110122200012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122469555 + ... + 124172445.

It is an arithmetic number, because the mean of its divisors is an integer number (1447964810370).

Almost surely, 2210002221011000 is an apocalyptic number.

210002221011000 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 210002221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370678991454720).

210002221011000 is an abundant number, since it is smaller than the sum of its proper divisors (531355761898440).

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

210002221011000 is a wasteful number, since it uses less digits than its factorization.

210002221011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703064 (or 1703050 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210002221011000 its reverse (110122200012), we get a palindrome (210112343211012).

The spelling of 210002221011000 in words is "two hundred ten trillion, two billion, two hundred twenty-one million, eleven thousand".