Search a number
-
+
113403114 = 232111513793
BaseRepresentation
bin1101100001001…
…10010011101010
321220101110211100
412300212103222
5213012344424
615130342230
72544624216
oct660462352
9256343740
10113403114
1159016490
1231b8a976
131a657346
14110bd946
159e50dc9
hex6c264ea

113403114 has 48 divisors (see below), whose sum is σ = 269889984. Its totient is φ = 34128000.

The previous prime is 113403109. The next prime is 113403119. The reversal of 113403114 is 411304311.

113403114 is a `hidden beast` number, since 11 + 340 + 311 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (113403109) and next prime (113403119).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113403119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28002 + ... + 31794.

It is an arithmetic number, because the mean of its divisors is an integer number (5622708).

Almost surely, 2113403114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113403114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134944992).

113403114 is an abundant number, since it is smaller than the sum of its proper divisors (156486870).

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

113403114 is a wasteful number, since it uses less digits than its factorization.

113403114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113403114 is about 10649.0898202616. The cubic root of 113403114 is about 484.0330242931.

Adding to 113403114 its reverse (411304311), we get a palindrome (524707425).

The spelling of 113403114 in words is "one hundred thirteen million, four hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1359 1661 2718 3322 3793 4983 7586 9966 11379 14949 22758 29898 34137 41723 68274 83446 125169 250338 375507 572743 751014 1145486 1718229 3436458 5154687 6300173 10309374 12600346 18900519 37801038 56701557 113403114