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221021133143200 = 25521321252032033
BaseRepresentation
bin110010010000010001111110…
…001000001111110010100000
31001222120102011210020220012121
4302100101332020033302200
5212432202240041040300
62102023412402434024
764361151502005025
oct6220217610176240
91058512153226177
10221021133143200
1164473599717585
1220957462362914
139643284bcc5c0
143c816a0c9954c
151a84400b3881a
hexc9047e20fca0

221021133143200 has 72 divisors (see below), whose sum is σ = 581073059873628. Its totient is φ = 81607803002880.

The previous prime is 221021133143183. The next prime is 221021133143243. The reversal of 221021133143200 is 2341331120122.

It can be written as a sum of positive squares in 6 ways, for example, as 121171396652944 + 99849736490256 = 11007788^2 + 9992484^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10626005617 + ... + 10626026416.

Almost surely, 2221021133143200 is an apocalyptic number.

221021133143200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021133143200 is an abundant number, since it is smaller than the sum of its proper divisors (360051926730428).

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

221021133143200 is a wasteful number, since it uses less digits than its factorization.

221021133143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21252032066 (or 21252032053 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 221021133143200 its reverse (2341331120122), we get a palindrome (223362464263322).

The spelling of 221021133143200 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred thirty-three million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 21252032033 42504064066 85008128132 106260160165 170016256264 212520320330 276276416429 340032512528 425040640660 531300800825 552552832858 680065025056 850081281320 1062601601650 1105105665716 1381382082145 1700162562640 2125203203300 2210211331432 2762764164290 3400325125280 4250406406600 4420422662864 5525528328580 6906910410725 8500812813200 8840845325728 11051056657160 13813820821450 17001625626400 22102113314320 27627641642900 44204226628640 55255283285800 110510566571600 221021133143200