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200316302320 = 2451911310331129
BaseRepresentation
bin1011101010001111001…
…0000011001111110000
3201011001101110111201011
42322203302003033300
511240221433133240
6232005105320304
720321011322131
oct2724362031760
9634041414634
10200316302320
1177a5436a882
12329a5636094
1315b74a07304
1499a40d9c88
1553261036ea
hex2ea3c833f0

200316302320 has 160 divisors (see below), whose sum is σ = 495503553600. Its totient is φ = 75098161152.

The previous prime is 200316302299. The next prime is 200316302321. The reversal of 200316302320 is 23203613002.

200316302320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200316302291 and 200316302300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200316302321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177427516 + ... + 177428644.

It is an arithmetic number, because the mean of its divisors is an integer number (3096897210).

Almost surely, 2200316302320 is an apocalyptic number.

200316302320 is a gapful number since it is divisible by the number (20) 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 200316302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247751776800).

200316302320 is an abundant number, since it is smaller than the sum of its proper divisors (295187251280).

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

200316302320 is a wasteful number, since it uses less digits than its factorization.

200316302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 200316302320 its reverse (23203613002), we get a palindrome (223519915322).

The spelling of 200316302320 in words is "two hundred billion, three hundred sixteen million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 113 152 190 226 304 380 452 565 760 904 1033 1129 1130 1520 1808 2066 2147 2258 2260 4132 4294 4516 4520 5165 5645 8264 8588 9032 9040 10330 10735 11290 16528 17176 18064 19627 20660 21451 21470 22580 34352 39254 41320 42902 42940 45160 78508 82640 85804 85880 90320 98135 107255 116729 127577 157016 171608 171760 196270 214510 233458 255154 314032 343216 392540 429020 466916 510308 583645 637885 785080 858040 933832 1020616 1166257 1167290 1275770 1570160 1716080 1867664 2041232 2217851 2332514 2334580 2423963 2551540 4435702 4665028 4669160 4847926 5103080 5831285 8871404 9330056 9338320 9695852 10206160 11089255 11662570 12119815 17742808 18660112 19391704 22158883 22178510 23325140 24239630 35485616 38783408 44317766 44357020 46650280 48479260 88635532 88714040 93300560 96958520 110794415 131787041 177271064 177428080 193917040 221588830 263574082 354542128 443177660 527148164 658935205 886355320 1054296328 1317870410 1772710640 2108592656 2503953779 2635740820 5007907558 5271481640 10015815116 10542963280 12519768895 20031630232 25039537790 40063260464 50079075580 100158151160 200316302320