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11331320322132 = 2232535938847129
BaseRepresentation
bin1010010011100100011101…
…0100101001100001010100
31111010021010012021220220100
42210321013110221201110
52441123021000302012
640033311531534100
72246442452355336
oct244710724514124
944107105256810
1011331320322132
113679649a07858
1213301042ba330
13642701019945
142b2620213456
15149b488488dc
hexa4e47529854

11331320322132 has 36 divisors (see below), whose sum is σ = 29183494796820. Its totient is φ = 3705840607872.

The previous prime is 11331320322073. The next prime is 11331320322169. The reversal of 11331320322132 is 23122302313311.

11331320322132 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 320 + 322 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5118245621316 + 6213074700816 = 2262354^2 + 2492604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11331320322096 and 11331320322105.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2969421657 + ... + 2969425472.

It is an arithmetic number, because the mean of its divisors is an integer number (810652633245).

Almost surely, 211331320322132 is an apocalyptic number.

11331320322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331320322132 is an abundant number, since it is smaller than the sum of its proper divisors (17852174474688).

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

11331320322132 is a wasteful number, since it uses less digits than its factorization.

11331320322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938847192 (or 5938847187 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11331320322132 its reverse (23122302313311), we get a palindrome (34453622635443).

The spelling of 11331320322132 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 5938847129 11877694258 17816541387 23755388516 35633082774 53449624161 71266165548 106899248322 213798496644 314758897837 629517795674 944276693511 1259035591348 1888553387022 2832830080533 3777106774044 5665660161066 11331320322132