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221000311232300 = 2252137119131135409
BaseRepresentation
bin110010001111111110100101…
…000010111101011100101100
31001222111102102200011020011102
4302033332211002331130230
5212431332114133413200
62102010050312542232
764356513506456315
oct6217764502753454
91058442380136142
10221000311232300
1164465784251756
12209534110b1978
13964131716c972
143c8068778360c
151a83ad2b686d5
hexc8ffa50bd72c

221000311232300 has 72 divisors (see below), whose sum is σ = 483078813737520. Its totient is φ = 87753483417600.

The previous prime is 221000311232293. The next prime is 221000311232329. The reversal of 221000311232300 is 3232113000122.

It is a super-2 number, since 2×2210003112323002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1632026996 + ... + 1632162404.

Almost surely, 2221000311232300 is an apocalyptic number.

221000311232300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000311232300 is an abundant number, since it is smaller than the sum of its proper divisors (262078502505220).

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

221000311232300 is a wasteful number, since it uses less digits than its factorization.

221000311232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254691 (or 254684 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 221000311232300 its reverse (3232113000122), we get a palindrome (224232424232422).

The spelling of 221000311232300 in words is "two hundred twenty-one trillion, three hundred eleven million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 13700 119131 135409 238262 270818 476524 541636 595655 677045 1191310 1354090 2382620 2708180 2978275 3385225 5956550 6770450 11913100 13540900 16320947 18551033 32641894 37102066 65283788 74204132 81604735 92755165 163209470 185510330 326418940 371020660 408023675 463775825 816047350 927551650 1632094700 1855103300 16131409579 32262819158 64525638316 80657047895 161314095790 322628191580 403285239475 806570478950 1613140957900 2210003112323 4420006224646 8840012449292 11050015561615 22100031123230 44200062246460 55250077808075 110500155616150 221000311232300