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11323331203131 = 333744203256423
BaseRepresentation
bin1010010011000110101100…
…1000100101000000111011
31111002111111102100121221000
42210301223020211000323
52441010140242000011
640025511101220043
72246040463104243
oct244615310450073
944074442317830
1011323331203131
11367621a2a1472
12132a654861623
13641a29b163ac
142b20a317cb23
1514982c29c356
hexa4c6b22503b

11323331203131 has 32 divisors (see below), whose sum is σ = 17229149073920. Its totient is φ = 7344668678112.

The previous prime is 11323331203127. The next prime is 11323331203193. The reversal of 11323331203131 is 13130213332311.

11323331203131 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 33 + 312 + 0 + 313 + 1 = 666.

It is not a de Polignac number, because 11323331203131 - 22 = 11323331203127 is a prime.

It is a super-2 number, since 2×113233312031312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11323331203095 and 11323331203104.

It is not an unprimeable number, because it can be changed into a prime (11323331303131) 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, 44030586 + ... + 44287008.

It is an arithmetic number, because the mean of its divisors is an integer number (538410908560).

Almost surely, 211323331203131 is an apocalyptic number.

11323331203131 is a deficient number, since it is larger than the sum of its proper divisors (5905817870789).

11323331203131 is a wasteful number, since it uses less digits than its factorization.

11323331203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300672 (or 300666 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11323331203131 its reverse (13130213332311), we get a palindrome (24453544535442).

The spelling of 11323331203131 in words is "eleven trillion, three hundred twenty-three billion, three hundred thirty-one million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 999 44203 132609 256423 397827 769269 1193481 1635511 2307807 4906533 6923421 9487651 14719599 28462953 44158797 85388859 256166577 11334665869 34003997607 102011992821 306035978463 419382637153 1258147911459 3774443734377 11323331203131