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11242312112313 = 3243227127973137
BaseRepresentation
bin1010001110011000111000…
…0001010001100010111001
31110210202101001122101010200
42203212032001101202321
52433143223400043223
635524351421032413
72240141655150342
oct243461601214271
943722331571120
1011242312112313
113644924112377
121316a036b5709
136371b781ba79
142ac1b8d270c9
151476895caa43
hexa398e0518b9

11242312112313 has 24 divisors (see below), whose sum is σ = 16689744765408. Its totient is φ = 7288326041472.

The previous prime is 11242312112287. The next prime is 11242312112341. The reversal of 11242312112313 is 31321121324211.

11242312112313 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 231 + 2 + 112 + 313 = 666.

It is not a de Polignac number, because 11242312112313 - 230 = 11241238370489 is a prime.

It is a super-3 number, since 3×112423121123133 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11242312112513) 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 23 ways as a sum of consecutive naturals, for example, 63898720 + ... + 64074417.

It is an arithmetic number, because the mean of its divisors is an integer number (695406031892).

Almost surely, 211242312112313 is an apocalyptic number.

It is an amenable number.

11242312112313 is a deficient number, since it is larger than the sum of its proper divisors (5447432653095).

11242312112313 is a wasteful number, since it uses less digits than its factorization.

11242312112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127973413 (or 127973410 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 11242312112313 its reverse (31321121324211), we get a palindrome (42563433436524).

The spelling of 11242312112313 in words is "eleven trillion, two hundred forty-two billion, three hundred twelve million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 43 129 227 387 681 2043 9761 29283 87849 127973137 383919411 1151758233 5502844891 16508534673 29049902099 49525604019 87149706297 261449118891 1249145790257 3747437370771 11242312112313