Search a number
-
+
21201120000 = 28325414723
BaseRepresentation
bin10011101111101011…
…110110101100000000
32000201112122111010200
4103233223312230000
5321404441320000
613423433325200
71350245355324
oct235753665400
960645574120
1021201120000
118a9a530285
124138266800
131ccb4a1b28
141051a27984
15841428500
hex4efaf6b00

21201120000 has 270 divisors, whose sum is σ = 76390806492. Its totient is φ = 5653248000.

The previous prime is 21201119993. The next prime is 21201120043. The reversal of 21201120000 is 2110212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1432639 + ... + 1447361.

Almost surely, 221201120000 is an apocalyptic number.

21201120000 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 21201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38195403246).

21201120000 is an abundant number, since it is smaller than the sum of its proper divisors (55189686492).

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

21201120000 is an equidigital number, since it uses as much as digits as its factorization.

21201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14733 counting only the distinct ones).

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

Adding to 21201120000 its reverse (2110212), we get a palindrome (21203230212).

The spelling of 21201120000 in words is "twenty-one billion, two hundred one million, one hundred twenty thousand".