Search a number
-
+
113143100 = 225271947181
BaseRepresentation
bin1101011111001…
…10110100111100
321212220021011012
412233212310330
5212431034400
615121014352
72542462160
oct657466474
9255807135
10113143100
11589590a4
1231a843b8
131a595ba5
1411052ca0
159dedd35
hex6be6d3c

113143100 has 144 divisors (see below), whose sum is σ = 303313920. Its totient is φ = 35769600.

The previous prime is 113143099. The next prime is 113143111. The reversal of 113143100 is 1341311.

It is a super-2 number, since 2×1131431002 = 25602722155220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 625010 + ... + 625190.

Almost surely, 2113143100 is an apocalyptic number.

113143100 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 113143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

113143100 is an abundant number, since it is smaller than the sum of its proper divisors (190170820).

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

113143100 is a wasteful number, since it uses less digits than its factorization.

113143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 113143100 is about 10636.8745409542. The cubic root of 113143100 is about 483.6628061414.

Adding to 113143100 its reverse (1341311), we get a palindrome (114484411).

The spelling of 113143100 in words is "one hundred thirteen million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 47 50 70 76 94 95 100 133 140 175 181 188 190 235 266 329 350 362 380 470 475 532 658 665 700 724 893 905 940 950 1175 1267 1316 1330 1645 1786 1810 1900 2350 2534 2660 3290 3325 3439 3572 3620 4465 4525 4700 5068 6251 6335 6580 6650 6878 8225 8507 8930 9050 12502 12670 13300 13756 16450 17014 17195 17860 18100 22325 24073 25004 25340 31255 31675 32900 34028 34390 42535 44650 48146 59549 62510 63350 68780 85070 85975 89300 96292 119098 120365 125020 126700 156275 161633 170140 171950 212675 238196 240730 297745 312550 323266 343900 425350 481460 595490 601825 625100 646532 808165 850700 1131431 1190980 1203650 1488725 1616330 2262862 2407300 2977450 3232660 4040825 4525724 5657155 5954900 8081650 11314310 16163300 22628620 28285775 56571550 113143100