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113141430 = 23257915913
BaseRepresentation
bin1101011111001…
…10011010110110
321212220011212100
412233212122312
5212431011210
615121002530
72542454253
oct657463266
9255804770
10113141430
1158957916
1231a83446
131a5951bc
141105242a
159ded5c0
hex6be66b6

113141430 has 48 divisors (see below), whose sum is σ = 297910080. Its totient is φ = 29787264.

The previous prime is 113141429. The next prime is 113141437. The reversal of 113141430 is 34141311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113141437) 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 23 ways as a sum of consecutive naturals, for example, 847 + ... + 15066.

It is an arithmetic number, because the mean of its divisors is an integer number (6206460).

Almost surely, 2113141430 is an apocalyptic number.

113141430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148955040).

113141430 is an abundant number, since it is smaller than the sum of its proper divisors (184768650).

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

113141430 is a wasteful number, since it uses less digits than its factorization.

113141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 16002 counting only the distinct ones).

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

The square root of 113141430 is about 10636.7960401617. The cubic root of 113141430 is about 483.6604264975.

Adding to 113141430 its reverse (34141311), we get a palindrome (147282741).

The spelling of 113141430 in words is "one hundred thirteen million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 15913 31826 47739 79565 95478 143217 159130 238695 286434 477390 716085 1257127 1432170 2514254 3771381 6285635 7542762 11314143 12571270 18856905 22628286 37713810 56570715 113141430