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21300101201300 = 2252213001012013
BaseRepresentation
bin1001101011111010100001…
…11101110011110110010100
32210102021021200020111222012
410311331100331303312110
510242440101401420200
6113145044214523352
74325611235630645
oct465752075636624
983367250214865
1021300101201300
11687235a921269
122480128966558
13bb678b3526ac
14538d0502b6cc
1526e0e7aeba35
hex135f50f73d94

21300101201300 has 18 divisors (see below), whose sum is σ = 46221219607038. Its totient is φ = 8520040480480.

The previous prime is 21300101201243. The next prime is 21300101201333. The reversal of 21300101201300 is 310210100312.

It can be written as a sum of positive squares in 3 ways, for example, as 119469774736 + 21180631426564 = 345644^2 + 4602242^2 .

It is a super-2 number, since 2×213001012013002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106500505907 + ... + 106500506106.

Almost surely, 221300101201300 is an apocalyptic number.

21300101201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300101201300 is an abundant number, since it is smaller than the sum of its proper divisors (24921118405738).

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

21300101201300 is a wasteful number, since it uses less digits than its factorization.

21300101201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213001012027 (or 213001012020 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21300101201300 its reverse (310210100312), we get a palindrome (21610311301612).

The spelling of 21300101201300 in words is "twenty-one trillion, three hundred billion, one hundred one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 213001012013 426002024026 852004048052 1065005060065 2130010120130 4260020240260 5325025300325 10650050600650 21300101201300