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221113101120 = 26353759105509
BaseRepresentation
bin1100110111101101011…
…1100010101101000000
3210010201202022100102120
43031323113202231000
512110314423213440
6245324501044240
721655250230452
oct3157327425500
9703652270376
10221113101120
11858566435aa
1236a2a3b6680
1317b0a4b3a12
14a9b81562d2
155b41cb2dd0
hex337b5e2b40

221113101120 has 224 divisors, whose sum is σ = 733235414400. Its totient is φ = 56396980224.

The previous prime is 221113101109. The next prime is 221113101133. The reversal of 221113101120 is 21101311122.

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 221113101120.

It is a congruent number.

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, 2042926 + ... + 2148434.

Almost surely, 2221113101120 is an apocalyptic number.

221113101120 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 221113101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366617707200).

221113101120 is an abundant number, since it is smaller than the sum of its proper divisors (512122313280).

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

221113101120 is a wasteful number, since it uses less digits than its factorization.

221113101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105625 (or 105615 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 221113101120 its reverse (21101311122), we get a palindrome (242214412242).

The spelling of 221113101120 in words is "two hundred twenty-one billion, one hundred thirteen million, one hundred one thousand, one hundred twenty".