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113313420 = 2232511151379
BaseRepresentation
bin1101100000100…
…00011010001100
321220012220210100
412300100122030
5213002012140
615124411100
72544101553
oct660203214
9256186710
10113313420
1158a65060
1231b46a90
131a62557c
1411098d9a
159e34530
hex6c1068c

113313420 has 144 divisors (see below), whose sum is σ = 378443520. Its totient is φ = 27216000.

The previous prime is 113313391. The next prime is 113313439. The reversal of 113313420 is 24313311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113313393 and 113313402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298791 + ... + 299169.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 2113313420 is an apocalyptic number.

113313420 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 113313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189221760).

113313420 is an abundant number, since it is smaller than the sum of its proper divisors (265130100).

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

113313420 is a wasteful number, since it uses less digits than its factorization.

113313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113313420 is about 10644.8776413823. The cubic root of 113313420 is about 483.9053784474.

Adding to 113313420 its reverse (24313311), we get a palindrome (137626731).

The spelling of 113313420 in words is "one hundred thirteen million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 379 396 453 495 604 660 755 758 906 990 1137 1359 1510 1516 1661 1812 1895 1980 2265 2274 2718 3020 3322 3411 3790 4169 4530 4548 4983 5436 5685 6644 6795 6822 7580 8305 8338 9060 9966 11370 12507 13590 13644 14949 16610 16676 17055 19932 20845 22740 24915 25014 27180 29898 33220 34110 37521 41690 49830 50028 57229 59796 62535 68220 74745 75042 83380 99660 114458 125070 149490 150084 171687 187605 228916 250140 286145 298980 343374 375210 515061 572290 629519 686748 750420 858435 1030122 1144580 1259038 1716870 1888557 2060244 2518076 2575305 3147595 3433740 3777114 5150610 5665671 6295190 7554228 9442785 10301220 11331342 12590380 18885570 22662684 28328355 37771140 56656710 113313420