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113311300300 = 2252116111031531
BaseRepresentation
bin110100110000111100…
…0010011101011001100
3101211110212012110102221
41221201320103223030
53324030143102200
6124015434225124
711120650106122
oct1514170235314
9354425173387
10113311300300
1144067303030
1219b638851a4
13a8ba5378b3
1456acca1912
152e32b7d91a
hex1a61e13acc

113311300300 has 144 divisors (see below), whose sum is σ = 273061522944. Its totient is φ = 40465440000.

The previous prime is 113311300283. The next prime is 113311300307. The reversal of 113311300300 is 3003113311.

It is not an unprimeable number, because it can be changed into a prime (113311300307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74010535 + ... + 74012065.

It is an arithmetic number, because the mean of its divisors is an integer number (1896260576).

Almost surely, 2113311300300 is an apocalyptic number.

113311300300 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 113311300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136530761472).

113311300300 is an abundant number, since it is smaller than the sum of its proper divisors (159750222644).

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

113311300300 is a wasteful number, since it uses less digits than its factorization.

113311300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 113311300300 its reverse (3003113311), we get a palindrome (116314413611).

The spelling of 113311300300 in words is "one hundred thirteen billion, three hundred eleven million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1103 1220 1342 1525 1531 2206 2684 3050 3062 3355 4412 5515 6100 6124 6710 7655 11030 12133 13420 15310 16775 16841 22060 24266 27575 30620 33550 33682 38275 48532 55150 60665 67100 67283 67364 76550 84205 93391 110300 121330 134566 153100 168410 186782 242660 269132 303325 336415 336820 373564 421025 466955 606650 672830 740113 842050 933910 1027301 1213300 1345660 1480226 1682075 1684100 1688693 1867820 2054602 2334775 2960452 3364150 3377386 3700565 4109204 4669550 5136505 6728300 6754772 7401130 8443465 9339100 10273010 14802260 16886930 18502825 18575623 20546020 25682525 33773860 37005650 37151246 42217325 51365050 74011300 74302492 84434650 92878115 102730100 103010273 168869300 185756230 206020546 371512460 412041092 464390575 515051365 928781150 1030102730 1133113003 1857562300 2060205460 2266226006 2575256825 4532452012 5150513650 5665565015 10301027300 11331130030 22662260060 28327825075 56655650150 113311300300