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11022201100 = 22522931312143
BaseRepresentation
bin10100100001111100…
…10111000100001100
31001110011012211102101
422100332113010030
5140033140413400
65021420004444
7540066110041
oct122076270414
931404184371
1011022201100
114746821909
122177390724
1310686cb8b1
14767c0d1c8
154479c756a
hex290f9710c

11022201100 has 72 divisors (see below), whose sum is σ = 24824036160. Its totient is φ = 4242900480.

The previous prime is 11022201097. The next prime is 11022201103. The reversal of 11022201100 is 110222011.

It is an interprime number because it is at equal distance from previous prime (11022201097) and next prime (11022201103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11022201103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901629 + ... + 913771.

It is an arithmetic number, because the mean of its divisors is an integer number (344778280).

Almost surely, 211022201100 is an apocalyptic number.

11022201100 is a gapful number since it is divisible by the number (10) 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 11022201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412018080).

11022201100 is an abundant number, since it is smaller than the sum of its proper divisors (13801835060).

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

11022201100 is a wasteful number, since it uses less digits than its factorization.

11022201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12499 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11022201100 its reverse (110222011), we get a palindrome (11132423111).

11022201100 divided by its reverse (110222011) gives a square (100 = 102).

The spelling of 11022201100 in words is "eleven billion, twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 313 580 626 725 1252 1450 1565 2900 3130 6260 7825 9077 12143 15650 18154 24286 31300 36308 45385 48572 60715 90770 121430 181540 226925 242860 303575 352147 453850 607150 704294 907700 1214300 1408588 1760735 3521470 3800759 7042940 7601518 8803675 15203036 17607350 19003795 35214700 38007590 76015180 95018975 110222011 190037950 220444022 380075900 440888044 551110055 1102220110 2204440220 2755550275 5511100550 11022201100