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11331121131 = 331138151923
BaseRepresentation
bin10101000110110001…
…10010111111101011
31002020200111121001000
422203120302333223
5141201231334011
65112213130043
7550536640401
oct124330627753
932220447030
1011331121131
114895139020
122242929923
1310b7700805
14796c65471
15464b99356
hex2a3632feb

11331121131 has 16 divisors (see below), whose sum is σ = 18312923520. Its totient is φ = 6867345960.

The previous prime is 11331121121. The next prime is 11331121141. The reversal of 11331121131 is 13112113311.

11331121131 is a `hidden beast` number, since 113 + 311 + 211 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (11331121121) and next prime (11331121141).

It is not a de Polignac number, because 11331121131 - 222 = 11326926827 is a prime.

It is a super-2 number, since 2×113311211312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19075665 + ... + 19076258.

It is an arithmetic number, because the mean of its divisors is an integer number (1144557720).

Almost surely, 211331121131 is an apocalyptic number.

11331121131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11331121131 is a deficient number, since it is larger than the sum of its proper divisors (6981802389).

11331121131 is a wasteful number, since it uses less digits than its factorization.

11331121131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38151943 (or 38151937 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11331121131 its reverse (13112113311), we get a palindrome (24443234442).

The spelling of 11331121131 in words is "eleven billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 38151923 114455769 343367307 419671153 1030101921 1259013459 3777040377 11331121131