Search a number
-
+
2121021330000 = 243541574011123
BaseRepresentation
bin11110110111010110101…
…110010001001001010000
321111202201121211101211120
4132313112232101021100
5234222322430030000
64302214520042240
7306144612556656
oct36672656211120
97452647741746
102121021330000
1174857a278291
122a3099903380
1312501c216501
147492d6d6dd6
153a28c9796a0
hex1edd6b91250

2121021330000 has 400 divisors, whose sum is σ = 6913885298496. Its totient is φ = 560102400000.

The previous prime is 2121021329983. The next prime is 2121021330019. The reversal of 2121021330000 is 331201212.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1888709439 + ... + 1888710561.

Almost surely, 22121021330000 is an apocalyptic number.

2121021330000 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 2121021330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456942649248).

2121021330000 is an abundant number, since it is smaller than the sum of its proper divisors (4792863968496).

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

2121021330000 is a wasteful number, since it uses less digits than its factorization.

2121021330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2121021330000 its reverse (331201212), we get a palindrome (2121352531212).

The spelling of 2121021330000 in words is "two trillion, one hundred twenty-one billion, twenty-one million, three hundred thirty thousand".