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113130420 = 223513433373
BaseRepresentation
bin1101011111000…
…11101110110100
321212212121202120
412233203232310
5212430133140
615120435540
72542410204
oct657435664
9255777676
10113130420
115894a617
1231a78bb0
131a5901a0
141104c404
159dea1d0
hex6be3bb4

113130420 has 96 divisors (see below), whose sum is σ = 349168512. Its totient is φ = 27191808.

The previous prime is 113130397. The next prime is 113130431. The reversal of 113130420 is 24031311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113130420.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31854 + ... + 35226.

It is an arithmetic number, because the mean of its divisors is an integer number (3637172).

Almost surely, 2113130420 is an apocalyptic number.

113130420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174584256).

113130420 is an abundant number, since it is smaller than the sum of its proper divisors (236038092).

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

113130420 is a wasteful number, since it uses less digits than its factorization.

113130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113130420 is about 10636.2784845076. The cubic root of 113130420 is about 483.6447373609.

Adding to 113130420 its reverse (24031311), we get a palindrome (137161731).

The spelling of 113130420 in words is "one hundred thirteen million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 3373 5590 6708 6746 8385 10119 11180 13492 16770 16865 20238 33540 33730 40476 43849 50595 67460 87698 101190 131547 145039 175396 202380 219245 263094 290078 435117 438490 526188 580156 657735 725195 870234 876980 1315470 1450390 1740468 1885507 2175585 2630940 2900780 3771014 4351170 5656521 7542028 8702340 9427535 11313042 18855070 22626084 28282605 37710140 56565210 113130420