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1010411112113 = 13243313807769
BaseRepresentation
bin11101011010000010011…
…00100000011010110001
310120121001021202201101222
432231001030200122301
5113023310221041423
62052102040434425
7132666633513404
oct16550114403261
93517037681358
101010411112113
1135a570805587
121439a8778a15
13743871b8400
1436c93023d3b
151b43a7803c8
hexeb413206b1

1010411112113 has 12 divisors (see below), whose sum is σ = 1096640708940. Its totient is φ = 930533101056.

The previous prime is 1010411112101. The next prime is 1010411112121. The reversal of 1010411112113 is 3112111140101.

It can be written as a sum of positive squares in 6 ways, for example, as 503855789584 + 506555322529 = 709828^2 + 711727^2 .

It is not a de Polignac number, because 1010411112113 - 218 = 1010410849969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010411112091 and 1010411112100.

It is not an unprimeable number, because it can be changed into a prime (1010411112013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6830708 + ... + 6977061.

It is an arithmetic number, because the mean of its divisors is an integer number (91386725745).

Almost surely, 21010411112113 is an apocalyptic number.

1010411112113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010411112113 is a deficient number, since it is larger than the sum of its proper divisors (86229596827).

1010411112113 is a wasteful number, since it uses less digits than its factorization.

1010411112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808228 (or 13808215 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1010411112113 its reverse (3112111140101), we get a palindrome (4122522252214).

The spelling of 1010411112113 in words is "one trillion, ten billion, four hundred eleven million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 13 169 433 5629 73177 13807769 179500997 2333512961 5978763977 77723931701 1010411112113