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221003311320 = 23325111393311213
BaseRepresentation
bin1100110111010011010…
…0101110100011011000
3210010110002201110010200
43031310310232203120
512110103321430240
6245305535542200
721652445102541
oct3156464564330
9703402643120
10221003311320
11857aa675930
12369b968a960
1317ac082323c
14a9a77374c8
155b37327930
hex3374d2e8d8

221003311320 has 384 divisors, whose sum is σ = 792231148800. Its totient is φ = 52986700800.

The previous prime is 221003311301. The next prime is 221003311327. The reversal of 221003311320 is 23113300122.

221003311320 is a `hidden beast` number, since 2 + 2 + 10 + 0 + 331 + 1 + 320 = 666.

It is a super-2 number, since 2×2210033113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221003311293 and 221003311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221003311327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182195034 + ... + 182196246.

It is an arithmetic number, because the mean of its divisors is an integer number (2063101950).

Almost surely, 2221003311320 is an apocalyptic number.

221003311320 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 221003311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396115574400).

221003311320 is an abundant number, since it is smaller than the sum of its proper divisors (571227837480).

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

221003311320 is a wasteful number, since it uses less digits than its factorization.

221003311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221003311320 its reverse (23113300122), we get a palindrome (244116611442).

The spelling of 221003311320 in words is "two hundred twenty-one billion, three million, three hundred eleven thousand, three hundred twenty".