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113123312312200 = 235211317927963443
BaseRepresentation
bin11001101110001010010010…
…110110001001111110001000
3112211112111001010200120012021
4121232022102312021332020
5104311403020422442300
61040332044322054224
732553614064241141
oct3156122266117610
9484474033616167
10113123312312200
1133054366755193
12108300804aa374
134b176372bbb68
141dd12aa042ac8
15d128e4ae2d1a
hex66e292d89f88

113123312312200 has 96 divisors (see below), whose sum is σ = 266821589959200. Its totient is φ = 44598334376960.

The previous prime is 113123312312191. The next prime is 113123312312221. The reversal of 113123312312200 is 2213213321311.

It is a super-2 number, since 2×1131233123122002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9936322 + ... + 18027121.

It is an arithmetic number, because the mean of its divisors is an integer number (2779391562075).

Almost surely, 2113123312312200 is an apocalyptic number.

113123312312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113123312312200 is an abundant number, since it is smaller than the sum of its proper divisors (153698277647000).

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

113123312312200 is a wasteful number, since it uses less digits than its factorization.

113123312312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27963751 (or 27963742 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 113123312312200 its reverse (2213213321311), we get a palindrome (115336525633511).

The spelling of 113123312312200 in words is "one hundred thirteen trillion, one hundred twenty-three billion, three hundred twelve million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 179 200 226 358 452 565 716 895 904 1130 1432 1790 2260 2825 3580 4475 4520 5650 7160 8950 11300 17900 20227 22600 35800 40454 80908 101135 161816 202270 404540 505675 809080 1011350 2022700 4045400 27963443 55926886 111853772 139817215 223707544 279634430 559268860 699086075 1118537720 1398172150 2796344300 3159869059 5005456297 5592688600 6319738118 10010912594 12639476236 15799345295 20021825188 25027281485 25278952472 31598690590 40043650376 50054562970 63197381180 78996726475 100109125940 125136407425 126394762360 157993452950 200218251880 250272814850 315986905900 500545629700 565616561561 631973811800 1001091259400 1131233123122 2262466246244 2828082807805 4524932492488 5656165615610 11312331231220 14140414039025 22624662462440 28280828078050 56561656156100 113123312312200