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113213013 = 31729411867
BaseRepresentation
bin1101011111101…
…11111001010101
321220000211001120
412233313321111
5212440304023
615122314153
72543203044
oct657677125
9256024046
10113213013
11589a6681
1231ab8959
131a5bb964
141107055b
159e148e3
hex6bf7e55

113213013 has 32 divisors (see below), whose sum is σ = 169464960. Its totient is φ = 66877440.

The previous prime is 113213003. The next prime is 113213017. The reversal of 113213013 is 310312311.

It is not a de Polignac number, because 113213013 - 24 = 113212997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113212983 and 113213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113213017) 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 31 ways as a sum of consecutive naturals, for example, 59706 + ... + 61572.

It is an arithmetic number, because the mean of its divisors is an integer number (5295780).

Almost surely, 2113213013 is an apocalyptic number.

It is an amenable number.

113213013 is a deficient number, since it is larger than the sum of its proper divisors (56251947).

113213013 is a wasteful number, since it uses less digits than its factorization.

113213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113213013 is about 10640.1603841296. The cubic root of 113213013 is about 483.7624067220.

Adding to 113213013 its reverse (310312311), we get a palindrome (423525324).

The spelling of 113213013 in words is "one hundred thirteen million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 17 29 41 51 87 123 493 697 1189 1479 1867 2091 3567 5601 20213 31739 54143 60639 76547 95217 162429 229641 920431 1301299 2219863 2761293 3903897 6659589 37737671 113213013