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221312120200320 = 2735254941452131
BaseRepresentation
bin110010010100100000111110…
…010011110001110010000000
31002000121020021011201222122110
4302110200332103301302000
5213001434210232402240
62102405215013135320
764421162436122112
oct6224407623616200
91060536234658573
10221312120200320
1164575a41292456
12209a393132a540
1396648496989c6
143c917c6db73b2
151a8bc81e10c80
hexc9483e4f1c80

221312120200320 has 128 divisors (see below), whose sum is σ = 705436710425280. Its totient is φ = 59016203366400.

The previous prime is 221312120200273. The next prime is 221312120200321. The reversal of 221312120200320 is 23002021213122.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (221312120200321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489260655 + ... + 489712785.

Almost surely, 2221312120200320 is an apocalyptic number.

221312120200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312120200320 is an abundant number, since it is smaller than the sum of its proper divisors (484124590224960).

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

221312120200320 is a wasteful number, since it uses less digits than its factorization.

221312120200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707094 (or 707082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221312120200320 its reverse (23002021213122), we get a palindrome (244314141413442).

The spelling of 221312120200320 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred twenty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 254941 452131 509882 764823 904262 1019764 1274705 1356393 1529646 1808524 2039528 2260655 2549410 2712786 3059292 3617048 3824115 4079056 4521310 5098820 5425572 6118584 6781965 7234096 7648230 8158112 9042620 10197640 10851144 12237168 13563930 14468192 15296460 16316224 18085240 20395280 21702288 24474336 27127860 28936384 30592920 32632448 36170480 40790560 43404576 48948672 54255720 57872768 61185840 72340960 81581120 86809152 97897344 108511440 122371680 144681920 163162240 173618304 217022880 244743360 289363840 434045760 489486720 868091520 115266729271 230533458542 345800187813 461066917084 576333646355 691600375626 922133834168 1152667292710 1383200751252 1729000939065 1844267668336 2305334585420 2766401502504 3458001878130 3688535336672 4610669170840 5532803005008 6916003756260 7377070673344 9221338341680 11065606010016 13832007512520 14754141346688 18442676683360 22131212020032 27664015025040 36885353366720 44262424040064 55328030050080 73770706733440 110656060100160 221312120200320