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11032133101 = 1161672111163
BaseRepresentation
bin10100100011001000…
…01111110111101101
31001110211220102120021
422101210033313231
5140043211224401
65022412522141
7540246404233
oct122144176755
931424812507
1011032133101
114751395980
12217a780351
13106a798512
14769276953
154487da2a1
hex29190fded

11032133101 has 32 divisors (see below), whose sum is σ = 12484486656. Its totient is φ = 9663192000.

The previous prime is 11032133089. The next prime is 11032133111. The reversal of 11032133101 is 10133123011.

It is not a de Polignac number, because 11032133101 - 27 = 11032132973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9485346 + ... + 9486508.

It is an arithmetic number, because the mean of its divisors is an integer number (390140208).

Almost surely, 211032133101 is an apocalyptic number.

11032133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11032133101 is a deficient number, since it is larger than the sum of its proper divisors (1452353555).

11032133101 is a wasteful number, since it uses less digits than its factorization.

11032133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11032133101 its reverse (10133123011), we get a palindrome (21165256112).

The spelling of 11032133101 in words is "eleven billion, thirty-two million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 11 61 67 211 671 737 1163 2321 4087 12793 12871 14137 44957 70943 77921 141581 155507 245393 780373 857131 862357 2699323 4753181 9485927 14968973 16441331 52284991 164658703 180854641 1002921191 11032133101