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11002300232 = 2371165927103
BaseRepresentation
bin10100011111100100…
…11100011101001000
31001101202202202120012
422033302130131020
5140013042101412
65015425251052
7536435003030
oct121762343510
931352682505
1011002300232
11473656a010
122170793a88
131064551631
1476530c8c0
15445d95c22
hex28fc9c748

11002300232 has 64 divisors (see below), whose sum is σ = 25759641600. Its totient is φ = 4279947840.

The previous prime is 11002300219. The next prime is 11002300237. The reversal of 11002300232 is 23200320011.

It is a happy number.

11002300232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110023002322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11002300237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392393 + ... + 419495.

It is an arithmetic number, because the mean of its divisors is an integer number (402494400).

Almost surely, 211002300232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879820800).

11002300232 is an abundant number, since it is smaller than the sum of its proper divisors (14757341368).

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

11002300232 is a wasteful number, since it uses less digits than its factorization.

11002300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27786 (or 27782 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11002300232 its reverse (23200320011), we get a palindrome (34202620243).

The spelling of 11002300232 in words is "eleven billion, two million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 659 1318 2636 4613 5272 7249 9226 14498 18452 27103 28996 36904 50743 54206 57992 101486 108412 189721 202972 216824 298133 379442 405944 596266 758884 1192532 1517768 2086931 2385064 4173862 8347724 16695448 17860877 35721754 71443508 125026139 142887016 196469647 250052278 392939294 500104556 785878588 1000209112 1375287529 1571757176 2750575058 5501150116 11002300232