Search a number
-
+
113113413 = 3272256493
BaseRepresentation
bin1101011110111…
…11100101000101
321212211202102200
412233133211011
5212424112123
615120225113
72542306500
oct657374505
9255752380
10113113413
1158938866
1231a6b199
131a58551a
1411046137
159de5143
hex6bdf945

113113413 has 18 divisors (see below), whose sum is σ = 190062054. Its totient is φ = 64635984.

The previous prime is 113113411. The next prime is 113113417. The reversal of 113113413 is 314311311.

113113413 is a `hidden beast` number, since 11 + 311 + 341 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111133764 + 1979649 = 10542^2 + 1407^2 .

It is not a de Polignac number, because 113113413 - 21 = 113113411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113411) 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 17 ways as a sum of consecutive naturals, for example, 127806 + ... + 128687.

It is an arithmetic number, because the mean of its divisors is an integer number (10559003).

Almost surely, 2113113413 is an apocalyptic number.

It is an amenable number.

113113413 is a deficient number, since it is larger than the sum of its proper divisors (76948641).

113113413 is a wasteful number, since it uses less digits than its factorization.

113113413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256513 (or 256503 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 113113413 is about 10635.4789736993. The cubic root of 113113413 is about 483.6205005605.

Adding to 113113413 its reverse (314311311), we get a palindrome (427424724).

It can be divided in two parts, 113113 and 413, that added together give a triangular number (113526 = T476).

The spelling of 113113413 in words is "one hundred thirteen million, one hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 256493 769479 1795451 2308437 5386353 12568157 16159059 37704471 113113413