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11331131013104 = 2472101161142871
BaseRepresentation
bin1010010011100011110000…
…0010011111011111110000
31111010020122000002000201212
42210320330002133133300
52441122124014404404
640033241050215252
72246434663306100
oct244707402373760
944106560060655
1011331131013104
113679562067111
121330070a24528
136426a0a36876
142b2603015200
15149b36e0206e
hexa4e3c09f7f0

11331131013104 has 60 divisors (see below), whose sum is σ = 25538834905488. Its totient is φ = 4856117011200.

The previous prime is 11331131013077. The next prime is 11331131013127. The reversal of 11331131013104 is 40131013113311.

It is a super-2 number, since 2×113311310131042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131013104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79238789 + ... + 79381659.

Almost surely, 211331131013104 is an apocalyptic number.

11331131013104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11331131013104 is an abundant number, since it is smaller than the sum of its proper divisors (14207703892384).

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

11331131013104 is a wasteful number, since it uses less digits than its factorization.

11331131013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244054 (or 244041 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 11331131013104 its reverse (40131013113311), we get a palindrome (51462144126415).

The spelling of 11331131013104 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 101161 142871 202322 285742 404644 571484 708127 809288 1000097 1142968 1416254 1618576 2000194 2285936 2832508 4000388 4956889 5665016 7000679 8000776 9913778 11330032 14001358 16001552 19827556 28002716 39655112 56005432 79310224 112010864 14452973231 28905946462 57811892924 101170812617 115623785848 202341625234 231247571696 404683250468 708195688319 809366500936 1416391376638 1618733001872 2832782753276 5665565506552 11331131013104