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221312201011000 = 235311101199200901
BaseRepresentation
bin110010010100100001000011…
…001000000010111100111000
31002000121020110210210121001121
4302110201003020002330320
5213001434341424323000
62102405231021155024
764421164440032551
oct6224410310027470
91060536423717047
10221312201011000
1164575a82967740
12209a39543bba74
139664860351088
143c917d3a11328
151a8bc89074b1a
hexc94843202f38

221312201011000 has 128 divisors (see below), whose sum is σ = 570543255472320. Its totient is φ = 79680360000000.

The previous prime is 221312201010991. The next prime is 221312201011049. The reversal of 221312201011000 is 110102213122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98489451 + ... + 100711450.

Almost surely, 2221312201011000 is an apocalyptic number.

221312201011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312201011000 is an abundant number, since it is smaller than the sum of its proper divisors (349231054461320).

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

221312201011000 is a wasteful number, since it uses less digits than its factorization.

221312201011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199201034 (or 199201020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 221312201011000 its reverse (110102213122), we get a palindrome (221422303224122).

The spelling of 221312201011000 in words is "two hundred twenty-one trillion, three hundred twelve billion, two hundred one million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 111100 138875 222200 277750 555500 1111000 199200901 398401802 796803604 996004505 1593607208 1992009010 2191209911 3984018020 4382419822 4980022525 7968036040 8764839644 9960045050 10956049555 17529679288 19920090100 20119291001 21912099110 24900112625 39840180200 40238582002 43824198220 49800225250 54780247775 80477164004 87648396440 99600450500 100596455005 109560495550 160954328008 199200901000 201192910010 219120991100 221312201011 273901238875 402385820020 438241982200 442624402022 502982275025 547802477750 804771640040 885248804044 1005964550050 1095604955500 1106561005055 1770497608088 2011929100100 2191209911000 2213122010110 2514911375125 4023858200200 4426244020220 5029822750250 5532805025275 8852488040440 10059645500500 11065610050550 20119291001000 22131220101100 27664025126375 44262440202200 55328050252750 110656100505500 221312201011000