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21220300310000 = 245411375213833
BaseRepresentation
bin1001101001100101111000…
…11101100100010111110000
32210010122022012210012202112
410310302330131210113300
510240133133334410000
6113044245452504452
74320054552352121
oct464627435442760
983118265705675
1021220300310000
11684152a349530
12246877777b128
13bac0b155229c
145350d48c2048
1526bec6d5d235
hex134cbc7645f0

21220300310000 has 200 divisors, whose sum is σ = 57561853548144. Its totient is φ = 7507918080000.

The previous prime is 21220300309933. The next prime is 21220300310057. The reversal of 21220300310000 is 1300302212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×212203003100002 (a number of 27 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1463084 + ... + 6676916.

Almost surely, 221220300310000 is an apocalyptic number.

21220300310000 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 21220300310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28780926774072).

21220300310000 is an abundant number, since it is smaller than the sum of its proper divisors (36341553238144).

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

21220300310000 is a wasteful number, since it uses less digits than its factorization.

21220300310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213909 (or 5213888 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21220300310000 its reverse (1300302212), we get a palindrome (21221600612212).

The spelling of 21220300310000 in words is "twenty-one trillion, two hundred twenty billion, three hundred million, three hundred ten thousand".