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21320200000 = 2655112881
BaseRepresentation
bin10011110110110010…
…000110111101000000
32001000211201101012001
4103312302012331000
5322130432400000
613443325513344
71353222465331
oct236662067500
961024641161
1021320200000
119050773900
124170112854
13201a066078
141063784288
1584baeb46a
hex4f6c86f40

21320200000 has 252 divisors, whose sum is σ = 58191048972. Its totient is φ = 7744000000.

The previous prime is 21320199983. The next prime is 21320200003. The reversal of 21320200000 is 202312.

It can be written as a sum of positive squares in 6 ways, for example, as 19973603584 + 1346596416 = 141328^2 + 36696^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 21320200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320200003) 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 35 ways as a sum of consecutive naturals, for example, 24199560 + ... + 24200440.

It is an arithmetic number, because the mean of its divisors is an integer number (230916861).

Almost surely, 221320200000 is an apocalyptic number.

21320200000 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 21320200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29095524486).

21320200000 is an abundant number, since it is smaller than the sum of its proper divisors (36870848972).

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

21320200000 is an frugal number, since it uses more digits than its factorization.

21320200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 21320200000 its reverse (202312), we get a palindrome (21320402312).

The spelling of 21320200000 in words is "twenty-one billion, three hundred twenty million, two hundred thousand".