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2201101104 = 243237128081
BaseRepresentation
bin1000001100110010…
…0010001100110000
312200101202112002010
42003030202030300
514001440213404
61002225122520
7105355023246
oct20314421460
95611675063
102201101104
11a2a511924
12515189440
132910288b7
1416c486796
15cd388189
hex83322330

2201101104 has 80 divisors (see below), whose sum is σ = 6017186304. Its totient is φ = 691891200.

The previous prime is 2201101099. The next prime is 2201101139. The reversal of 2201101104 is 4011011022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2201101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64344 + ... + 92424.

Almost surely, 22201101104 is an apocalyptic number.

2201101104 is a gapful number since it is divisible by the number (24) 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 2201101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008593152).

2201101104 is an abundant number, since it is smaller than the sum of its proper divisors (3816085200).

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

2201101104 is a wasteful number, since it uses less digits than its factorization.

2201101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28186 (or 28180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2201101104 is about 46915.8939379823. The cubic root of 2201101104 is about 1300.8083934560.

Adding to 2201101104 its reverse (4011011022), we get a palindrome (6212112126).

The spelling of 2201101104 in words is "two billion, two hundred one million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 184 213 276 284 368 426 552 568 852 1104 1136 1633 1704 3266 3408 4899 6532 9798 13064 19596 26128 28081 39192 56162 78384 84243 112324 168486 224648 336972 449296 645863 673944 1291726 1347888 1937589 1993751 2583452 3875178 3987502 5166904 5981253 7750356 7975004 10333808 11962506 15500712 15950008 23925012 31001424 31900016 45856273 47850024 91712546 95700048 137568819 183425092 275137638 366850184 550275276 733700368 1100550552 2201101104