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221002311231300 = 2235210337918871183
BaseRepresentation
bin110010010000000000011100…
…010000010110011101000100
31001222111121121001111201000110
4302100000130100112131010
5212431400213133400200
62102011020555513020
764356614203255224
oct6220003420263504
91058447531451013
10221002311231300
1164466610198595
122095388aa58770
139641575616721
143c807d723c084
151a83b9d52ab50
hexc9001c416744

221002311231300 has 144 divisors (see below), whose sum is σ = 647345018378240. Its totient is φ = 58207783455360.

The previous prime is 221002311231269. The next prime is 221002311231313. The reversal of 221002311231300 is 3132113200122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2275509 + ... + 21146691.

Almost surely, 2221002311231300 is an apocalyptic number.

221002311231300 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 221002311231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323672509189120).

221002311231300 is an abundant number, since it is smaller than the sum of its proper divisors (426342707146940).

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

221002311231300 is a wasteful number, since it uses less digits than its factorization.

221002311231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18871682 (or 18871675 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221002311231300 its reverse (3132113200122), we get a palindrome (224134424431422).

The spelling of 221002311231300 in words is "two hundred twenty-one trillion, two billion, three hundred eleven million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 379 412 515 618 758 1030 1137 1236 1516 1545 1895 2060 2274 2575 3090 3790 4548 5150 5685 6180 7580 7725 9475 10300 11370 15450 18950 22740 28425 30900 37900 39037 56850 78074 113700 117111 156148 195185 234222 390370 468444 585555 780740 975925 1171110 1951850 2342220 2927775 3903700 5855550 11711100 18871183 37742366 56613549 75484732 94355915 113227098 188711830 226454196 283067745 377423660 471779575 566135490 943559150 1132270980 1415338725 1887118300 1943731849 2830677450 3887463698 5661354900 5831195547 7152178357 7774927396 9718659245 11662391094 14304356714 19437318490 21456535071 23324782188 28608713428 29155977735 35760891785 38874636980 42913070142 48593296225 58311955470 71521783570 85826140284 97186592450 107282675355 116623910940 143043567140 145779888675 178804458925 194373184900 214565350710 291559777350 357608917850 429130701420 536413376775 583119554700 715217835700 736674370771 1072826753550 1473348741542 2145653507100 2210023112313 2946697483084 3683371853855 4420046224626 7366743707710 8840092449252 11050115561565 14733487415420 18416859269275 22100231123130 36833718538550 44200462246260 55250577807825 73667437077100 110501155615650 221002311231300