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11333130432 = 263134540517
BaseRepresentation
bin10101000111000000…
…11101100011000000
31002020211021200021120
422203200131203000
5141202240133212
65112324152240
7550563006411
oct124340354300
932224250246
1011333130432
1148962906a8
122243538680
1310b7c55250
14797229808
15464e4488c
hex2a381d8c0

11333130432 has 56 divisors (see below), whose sum is σ = 32292164016. Its totient is φ = 3487116288.

The previous prime is 11333130421. The next prime is 11333130433. The reversal of 11333130432 is 23403133311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11333130433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2267763 + ... + 2272754.

It is an arithmetic number, because the mean of its divisors is an integer number (576645786).

Almost surely, 211333130432 is an apocalyptic number.

11333130432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11333130432 is an abundant number, since it is smaller than the sum of its proper divisors (20959033584).

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

11333130432 is a wasteful number, since it uses less digits than its factorization.

11333130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540545 (or 4540535 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11333130432 its reverse (23403133311), we get a palindrome (34736263743).

The spelling of 11333130432 in words is "eleven billion, three hundred thirty-three million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4540517 9081034 13621551 18162068 27243102 36324136 54486204 59026721 72648272 108972408 118053442 145296544 177080163 217944816 236106884 290593088 354160326 435889632 472213768 708320652 871779264 944427536 1416641304 1888855072 2833282608 3777710144 5666565216 11333130432