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11333130100 = 2252113331301
BaseRepresentation
bin10101000111000000…
…11101011101110100
31002020211021122211021
422203200131131310
5141202240130400
65112324150524
7550563005425
oct124340353564
932224248737
1011333130100
114896290426
122243538444
1310b7c55056
1479722964c
15464e4471a
hex2a381d774

11333130100 has 18 divisors (see below), whose sum is σ = 24592892534. Its totient is φ = 4533252000.

The previous prime is 11333130077. The next prime is 11333130103. The reversal of 11333130100 is 103133311.

11333130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 34715664 + 11298414436 = 5892^2 + 106294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333130103) 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 5 ways as a sum of consecutive naturals, for example, 56665551 + ... + 56665750.

Almost surely, 211333130100 is an apocalyptic number.

11333130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11333130100 is an abundant number, since it is smaller than the sum of its proper divisors (13259762434).

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

11333130100 is a wasteful number, since it uses less digits than its factorization.

11333130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113331315 (or 113331308 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11333130100 its reverse (103133311), we get a palindrome (11436263411).

The spelling of 11333130100 in words is "eleven billion, three hundred thirty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113331301 226662602 453325204 566656505 1133313010 2266626020 2833282525 5666565050 11333130100