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113201203200 = 211352736987
BaseRepresentation
bin110100101101101010…
…0010100100000000000
3101211012012000221121120
41221123110110200000
53323314002000300
6124000502352240
711115142231251
oct1513324244000
9354165027546
10113201203200
1144010145498
1219b32a2b680
13a8a079a297
14569c402b28
152e281823a0
hex1a5b514800

113201203200 has 144 divisors (see below), whose sum is σ = 374227766640. Its totient is φ = 30186946560.

The previous prime is 113201203187. The next prime is 113201203201. The reversal of 113201203200 is 2302102311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113201203200.

It is not an unprimeable number, because it can be changed into a prime (113201203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214894 + ... + 522093.

It is an arithmetic number, because the mean of its divisors is an integer number (2598803935).

Almost surely, 2113201203200 is an apocalyptic number.

113201203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113201203200 is an abundant number, since it is smaller than the sum of its proper divisors (261026563440).

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

113201203200 is an equidigital number, since it uses as much as digits as its factorization.

113201203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737022 (or 736997 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113201203200 its reverse (2302102311), we get a palindrome (115503305511).

The spelling of 113201203200 in words is "one hundred thirteen billion, two hundred one million, two hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4800 5120 6144 6400 7680 9600 10240 12800 15360 19200 25600 30720 38400 51200 76800 153600 736987 1473974 2210961 2947948 3684935 4421922 5895896 7369870 8843844 11054805 11791792 14739740 17687688 18424675 22109610 23583584 29479480 35375376 36849350 44219220 47167168 55274025 58958960 70750752 73698700 88438440 94334336 110548050 117917920 141501504 147397400 176876880 188668672 221096100 235835840 283003008 294794800 353753760 377337344 442192200 471671680 566006016 589589600 707507520 754674688 884384400 943343360 1132012032 1179179200 1415015040 1509349376 1768768800 1886686720 2264024064 2358358400 2830030080 3537537600 3773373440 4528048128 4716716800 5660060160 7075075200 7546746880 9433433600 11320120320 14150150400 18866867200 22640240640 28300300800 37733734400 56600601600 113201203200