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111314241414 = 2351019224771
BaseRepresentation
bin110011110101011011…
…0001000011110000110
3101122022200101100200000
41213222312020132012
53310432421211124
6123045334302130
711020320304035
oct1475266103606
9348280340600
10111314241414
1143231a95142
12196a6ab7946
13a65c88014c
14555d97071c
152d6769c6c9
hex19ead88786

111314241414 has 48 divisors (see below), whose sum is σ = 250360044480. Its totient is φ = 37068169320.

The previous prime is 111314241413. The next prime is 111314241487. The reversal of 111314241414 is 414142413111.

111314241414 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 4 + 241 + 414 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111314241413) 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, 382849 + ... + 607619.

It is an arithmetic number, because the mean of its divisors is an integer number (5215834260).

Almost surely, 2111314241414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111314241414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125180022240).

111314241414 is an abundant number, since it is smaller than the sum of its proper divisors (139045803066).

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

111314241414 is a wasteful number, since it uses less digits than its factorization.

111314241414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225807 (or 225795 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 111314241414 its reverse (414142413111), we get a palindrome (525456654525).

The spelling of 111314241414 in words is "one hundred eleven billion, three hundred fourteen million, two hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1019 2038 3057 6114 9171 18342 27513 55026 82539 165078 224771 247617 449542 495234 674313 1348626 2022939 4045878 6068817 12137634 18206451 36412902 54619353 109238706 229041649 458083298 687124947 1374249894 2061374841 4122749682 6184124523 12368249046 18552373569 37104747138 55657120707 111314241414