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21100302000 = 2432535871997
BaseRepresentation
bin10011101001101011…
…010000111010110000
32000110111221101211200
4103221223100322300
5321203134131000
613405432411200
71344612415311
oct235153207260
960414841750
1021100302000
118a48630218
12410a546b00
131cb3632bcb
1410424a2608
15837661500
hex4e9ad0eb0

21100302000 has 240 divisors, whose sum is σ = 73858835232. Its totient is φ = 5614348800.

The previous prime is 21100301987. The next prime is 21100302001. The reversal of 21100302000 is 20300112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (21100302001) 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 47 ways as a sum of consecutive naturals, for example, 10565002 + ... + 10566998.

Almost surely, 221100302000 is an apocalyptic number.

21100302000 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 21100302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36929417616).

21100302000 is an abundant number, since it is smaller than the sum of its proper divisors (52758533232).

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

21100302000 is a wasteful number, since it uses less digits than its factorization.

21100302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21100302000 its reverse (20300112), we get a palindrome (21120602112).

The spelling of 21100302000 in words is "twenty-one billion, one hundred million, three hundred two thousand".