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113023203120 = 24335389134513
BaseRepresentation
bin110100101000010110…
…1010011011100110000
3101210201210002121102000
41221100231103130300
53322432414444440
6123531103254000
711110551242502
oct1512055233460
9353653077360
10113023203120
1143a29719393
1219aa32aa300
13a8729467a9
145682909d72
152e17721730
hex1a50b53730

113023203120 has 160 divisors (see below), whose sum is σ = 390305822400. Its totient is φ = 30061817856.

The previous prime is 113023203119. The next prime is 113023203127. The reversal of 113023203120 is 21302320311.

113023203120 is a `hidden beast` number, since 1 + 1 + 30 + 2 + 320 + 312 + 0 = 666.

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 = 113023203093 and 113023203102.

It is not an unprimeable number, because it can be changed into a prime (113023203127) 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 31 ways as a sum of consecutive naturals, for example, 772984 + ... + 907496.

It is an arithmetic number, because the mean of its divisors is an integer number (2439411390).

Almost surely, 2113023203120 is an apocalyptic number.

113023203120 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 113023203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195152911200).

113023203120 is an abundant number, since it is smaller than the sum of its proper divisors (277282619280).

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

113023203120 is a wasteful number, since it uses less digits than its factorization.

113023203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134924 (or 134912 counting only the distinct ones).

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

Adding to 113023203120 its reverse (21302320311), we get a palindrome (134325523431).

The spelling of 113023203120 in words is "one hundred thirteen billion, twenty-three million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 389 432 540 720 778 1080 1167 1556 1945 2160 2334 3112 3501 3890 4668 5835 6224 7002 7780 9336 10503 11670 14004 15560 17505 18672 21006 23340 28008 31120 35010 42012 46680 52515 56016 70020 84024 93360 105030 134513 140040 168048 210060 269026 280080 403539 420120 538052 672565 807078 840240 1076104 1210617 1345130 1614156 2017695 2152208 2421234 2690260 3228312 3631851 4035390 4842468 5380520 6053085 6456624 7263702 8070780 9684936 10761040 12106170 14527404 16141560 18159255 19369872 24212340 29054808 32283120 36318510 48424680 52325557 58109616 72637020 96849360 104651114 145274040 156976671 209302228 261627785 290548080 313953342 418604456 470930013 523255570 627906684 784883355 837208912 941860026 1046511140 1255813368 1412790039 1569766710 1883720052 2093022280 2354650065 2511626736 2825580078 3139533420 3767440104 4186044560 4709300130 5651160156 6279066840 7063950195 7534880208 9418600260 11302320312 12558133680 14127900390 18837200520 22604640624 28255800780 37674401040 56511601560 113023203120