Search a number
-
+
20212221120 = 2635713231367
BaseRepresentation
bin10010110100101111…
…100000010011000000
31221011121212012220020
4102310233200103000
5312343312033440
613141350013440
71313610021240
oct226457402300
957147765806
1020212221120
1186322a9983
123b01047280
131ba1650770
14d9a569b20
157d46db3d0
hex4b4be04c0

20212221120 has 224 divisors, whose sum is σ = 78983482368. Its totient is φ = 4264538112.

The previous prime is 20212221103. The next prime is 20212221137. The reversal of 20212221120 is 2112221202.

It is an interprime number because it is at equal distance from previous prime (20212221103) and next prime (20212221137).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212221120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28324 + ... + 203043.

It is an arithmetic number, because the mean of its divisors is an integer number (352604832).

Almost surely, 220212221120 is an apocalyptic number.

20212221120 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 20212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39491741184).

20212221120 is an abundant number, since it is smaller than the sum of its proper divisors (58771261248).

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

20212221120 is a wasteful number, since it uses less digits than its factorization.

20212221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231407 (or 231397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20212221120 its reverse (2112221202), we get a palindrome (22324442322).

The spelling of 20212221120 in words is "twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".