Search a number
-
+
21302140838700 = 22352194122223211
BaseRepresentation
bin1001101011111110010101…
…00010011010001100101100
32210102110112211011211111010
410311333022202122030230
510243003241023314300
6113150022435225220
74326012623360451
oct465771242321454
983373484154433
1021302140838700
116873207181007
1224805b7a48210
13bb6a24a97527
14539059c83828
1526e1b6bdda50
hex135fca89a32c

21302140838700 has 216 divisors, whose sum is σ = 66499116631360. Its totient is φ = 5250332736000.

The previous prime is 21302140838683. The next prime is 21302140838707. The reversal of 21302140838700 is 783804120312.

It is a super-3 number, since 3×213021408387003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21302140838707) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8470095 + ... + 10693305.

Almost surely, 221302140838700 is an apocalyptic number.

21302140838700 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 21302140838700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33249558315680).

21302140838700 is an abundant number, since it is smaller than the sum of its proper divisors (45196975792660).

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

21302140838700 is a wasteful number, since it uses less digits than its factorization.

21302140838700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223329 (or 2223281 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 21302140838700 in words is "twenty-one trillion, three hundred two billion, one hundred forty million, eight hundred thirty-eight thousand, seven hundred".