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11331131013126 = 2323931716011071
BaseRepresentation
bin1010010011100011110000…
…0010011111100000000110
31111010020122000002000202200
42210320330002133200012
52441122124014410001
640033241050215330
72246434663306131
oct244707402374006
944106560060680
1011331131013126
113679562067131
121330070a24546
136426a0a36892
142b2603015218
15149b36e02086
hexa4e3c09f806

11331131013126 has 24 divisors (see below), whose sum is σ = 24551409826944. Its totient is φ = 3776947368720.

The previous prime is 11331131013077. The next prime is 11331131013127. The reversal of 11331131013126 is 62131013113311.

11331131013126 is a `hidden beast` number, since 1 + 1 + 3 + 31 + 1 + 310 + 1 + 312 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131013126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131013127) 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 11 ways as a sum of consecutive naturals, for example, 7297830 + ... + 8713241.

It is an arithmetic number, because the mean of its divisors is an integer number (1022975409456).

Almost surely, 211331131013126 is an apocalyptic number.

11331131013126 is an abundant number, since it is smaller than the sum of its proper divisors (13220278813818).

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

11331131013126 is a wasteful number, since it uses less digits than its factorization.

11331131013126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16050396 (or 16050393 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 11331131013126 its reverse (62131013113311), we get a palindrome (73462144126437).

The spelling of 11331131013126 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 39317 78634 117951 235902 353853 707706 16011071 32022142 48033213 96066426 144099639 288199278 629507278507 1259014557014 1888521835521 3777043671042 5665565506563 11331131013126