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203313422314000 = 24532931113077543
BaseRepresentation
bin101110001110100110011000…
…010100001010101000010000
3222122212120110222021120010101
4232032212120110022220100
5203122041342103022000
62000224521412542144
760552624065301115
oct5616463024125020
9878776428246111
10203313422314000
1159866813587509
121a977605921954
13895a4b16443cb
14382c5ca51a90c
1518789ae513e6a
hexb8e99850aa10

203313422314000 has 160 divisors (see below), whose sum is σ = 524969282672640. Its totient is φ = 75988108224000.

The previous prime is 203313422313943. The next prime is 203313422314061. The reversal of 203313422314000 is 413224313302.

It is a happy number.

It is a super-2 number, since 2×2033134223140002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203313422314000.

It is an unprimeable number.

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, 54740772 + ... + 58336771.

It is an arithmetic number, because the mean of its divisors is an integer number (3281058016704).

Almost surely, 2203313422314000 is an apocalyptic number.

203313422314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203313422314000 is an abundant number, since it is smaller than the sum of its proper divisors (321655860358640).

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

203313422314000 is a wasteful number, since it uses less digits than its factorization.

203313422314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113077626 (or 113077610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 203313422314000 its reverse (413224313302), we get a palindrome (203726646627302).

The spelling of 203313422314000 in words is "two hundred three trillion, three hundred thirteen billion, four hundred twenty-two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 31 40 50 58 62 80 100 116 124 125 145 155 200 232 248 250 290 310 400 464 496 500 580 620 725 775 899 1000 1160 1240 1450 1550 1798 2000 2320 2480 2900 3100 3596 3625 3875 4495 5800 6200 7192 7250 7750 8990 11600 12400 14384 14500 15500 17980 22475 29000 31000 35960 44950 58000 62000 71920 89900 112375 179800 224750 359600 449500 899000 1798000 113077543 226155086 452310172 565387715 904620344 1130775430 1809240688 2261550860 2826938575 3279248747 3505403833 4523101720 5653877150 6558497494 7010807666 9046203440 11307754300 13116994988 14021615332 14134692875 16396243735 17527019165 22615508600 26233989976 28043230664 28269385750 32792487470 35054038330 45231017200 52467979952 56086461328 56538771500 65584974940 70108076660 81981218675 87635095825 101656711157 113077543000 131169949880 140216153320 163962437350 175270191650 203313422314 226155086000 262339899760 280432306640 327924874700 350540383300 406626844628 409906093375 438175479125 508283555785 655849749400 701080766600 813253689256 819812186750 876350958250 1016567111570 1311699498800 1402161533200 1626507378512 1639624373500 1752701916500 2033134223140 2541417778925 3279248747000 3505403833000 4066268446280 5082835557850 6558497494000 7010807666000 8132536892560 10165671115700 12707088894625 20331342231400 25414177789250 40662684462800 50828355578500 101656711157000 203313422314000