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11202021000000 = 2632565212389
BaseRepresentation
bin1010001100000010110001…
…1110111000001101000000
31110122220101002210210121200
42203000230132320031000
52432013214334000000
635454045402421200
72234214344304525
oct243005436701500
943586332723550
1011202021000000
113629828900346
12130b03a201800
13633466360bcc
142aa275c1b14c
151465cc28d500
hexa302c7b8340

11202021000000 has 588 divisors, whose sum is σ = 40229066701980. Its totient is φ = 2980224000000.

The previous prime is 11202020999993. The next prime is 11202021000007. The reversal of 11202021000000 is 12020211.

It is an interprime number because it is at equal distance from previous prime (11202020999993) and next prime (11202021000007).

It can be written as a sum of positive squares in 14 ways, for example, as 6772444121664 + 4429576878336 = 2602392^2 + 2104656^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202021000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4688998806 + ... + 4689001194.

Almost surely, 211202021000000 is an apocalyptic number.

11202021000000 is a gapful number since it is divisible by the number (10) 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 11202021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114533350990).

11202021000000 is an abundant number, since it is smaller than the sum of its proper divisors (29027045701980).

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

11202021000000 is an frugal number, since it uses more digits than its factorization.

11202021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11202021000000 its reverse (12020211), we get a palindrome (11202033020211).

The spelling of 11202021000000 in words is "eleven trillion, two hundred two billion, twenty-one million", and thus it is an aban number.