Search a number
-
+
113103113013 = 32112670142787
BaseRepresentation
bin110100101010101111…
…0001000101100110101
3101210221100110110011200
41221111132020230311
53323113344104023
6123543040123113
711112541412112
oct1512536105465
9353840413150
10113103113013
1143a6a838920
1219b06006499
13a886374b57
14568d38b909
152e1e758743
hex1a55788b35

113103113013 has 24 divisors (see below), whose sum is σ = 178233927456. Its totient is φ = 68543172000.

The previous prime is 113103112963. The next prime is 113103113023. The reversal of 113103113013 is 310311301311.

113103113013 is a `hidden beast` number, since 1 + 1 + 310 + 311 + 30 + 13 = 666.

It is not a de Polignac number, because 113103113013 - 26 = 113103112949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113103113023) 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, 2622006 + ... + 2664792.

It is an arithmetic number, because the mean of its divisors is an integer number (7426413644).

Almost surely, 2113103113013 is an apocalyptic number.

It is an amenable number.

113103113013 is a deficient number, since it is larger than the sum of its proper divisors (65130814443).

113103113013 is a wasteful number, since it uses less digits than its factorization.

113103113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69505 (or 69502 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113103113013 its reverse (310311301311), we get a palindrome (423414414324).

It can be divided in two parts, 11 and 3103113013, that multiplied together give a palindrome (34134243143).

The spelling of 113103113013 in words is "one hundred thirteen billion, one hundred three million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 33 99 26701 42787 80103 128361 240309 293711 385083 470657 881133 1411971 2643399 4235913 1142455687 3427367061 10282101183 12567012557 37701037671 113103113013