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31203103200 = 2535214987257
BaseRepresentation
bin11101000011110110…
…011001000111100000
32222112121010212200220
4131003312121013200
51002400443300300
622200130443040
72153146000233
oct350366310740
988477125626
1031203103200
111226237a2a5
126069a33480
132c33704b99
14172014541a
15c29578da0
hex743d991e0

31203103200 has 144 divisors (see below), whose sum is σ = 102248924400. Its totient is φ = 8264888320.

The previous prime is 31203103187. The next prime is 31203103207. The reversal of 31203103200 is 230130213.

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 31203103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31203103207) 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 23 ways as a sum of consecutive naturals, for example, 313972 + ... + 401228.

It is an arithmetic number, because the mean of its divisors is an integer number (710061975).

Almost surely, 231203103200 is an apocalyptic number.

31203103200 is a gapful number since it is divisible by the number (30) 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 31203103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51124462200).

31203103200 is an abundant number, since it is smaller than the sum of its proper divisors (71045821200).

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

31203103200 is a wasteful number, since it uses less digits than its factorization.

31203103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87429 (or 87416 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31203103200 its reverse (230130213), we get a palindrome (31433233413).

The spelling of 31203103200 in words is "thirty-one billion, two hundred three million, one 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 75 80 96 100 120 149 150 160 200 240 298 300 400 447 480 596 600 745 800 894 1192 1200 1490 1788 2235 2384 2400 2980 3576 3725 4470 4768 5960 7152 7450 8940 11175 11920 14304 14900 17880 22350 23840 29800 35760 44700 59600 71520 87257 89400 119200 174514 178800 261771 349028 357600 436285 523542 698056 872570 1047084 1308855 1396112 1745140 2094168 2181425 2617710 2792224 3490280 4188336 4362850 5235420 6544275 6980560 8376672 8725700 10470840 13001293 13088550 13961120 17451400 20941680 26002586 26177100 34902800 39003879 41883360 52005172 52354200 65006465 69805600 78007758 104010344 104708400 130012930 156015516 195019395 208020688 209416800 260025860 312031032 325032325 390038790 416041376 520051720 624062064 650064650 780077580 975096975 1040103440 1248124128 1300129300 1560155160 1950193950 2080206880 2600258600 3120310320 3900387900 5200517200 6240620640 7800775800 10401034400 15601551600 31203103200