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11330001100 = 22521134729683
BaseRepresentation
bin10101000110101001…
…00001100011001100
31002020121101200122101
422203110201203030
5141200440013400
65112133124444
7550524264115
oct124324414314
932217350571
1011330001100
114894543580
122242489724
1310b73caa82
14796a5320c
15464a2756a
hex2a35218cc

11330001100 has 72 divisors (see below), whose sum is σ = 26899403328. Its totient is φ = 4107988800.

The previous prime is 11330001037. The next prime is 11330001107. The reversal of 11330001100 is 110003311.

It is a super-3 number, since 3×113300011003 (a number of 31 digits) contains 333 as substring.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11330001107) 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, 366859 + ... + 396541.

It is an arithmetic number, because the mean of its divisors is an integer number (373602824).

Almost surely, 211330001100 is an apocalyptic number.

11330001100 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 11330001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449701664).

11330001100 is an abundant number, since it is smaller than the sum of its proper divisors (15569402228).

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

11330001100 is a wasteful number, since it uses less digits than its factorization.

11330001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30055 (or 30048 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11330001100 its reverse (110003311), we get a palindrome (11440004411).

The spelling of 11330001100 in words is "eleven billion, three hundred thirty million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 347 550 694 1100 1388 1735 3470 3817 6940 7634 8675 15268 17350 19085 29683 34700 38170 59366 76340 95425 118732 148415 190850 296830 326513 381700 593660 653026 742075 1306052 1484150 1632565 2968300 3265130 6530260 8162825 10300001 16325650 20600002 32651300 41200004 51500005 103000010 113300011 206000020 226600022 257500025 453200044 515000050 566500055 1030000100 1133000110 2266000220 2832500275 5665000550 11330001100