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200221122212001 = 3411317310734967
BaseRepresentation
bin101101100001100110011100…
…110111011011000010100001
3222020220221201021002021210000
4231201212130313123002201
5202220410324241241001
61545500151433530213
760113333026152522
oct5541463467330241
9866827637067700
10200221122212001
115888433480a000
121a558240873969
138794a03612847
143762a7b06c849
151823326a51a86
hexb6199cddb0a1

200221122212001 has 80 divisors (see below), whose sum is σ = 330884519822208. Its totient is φ = 120644700691680.

The previous prime is 200221122211963. The next prime is 200221122212009. The reversal of 200221122212001 is 100212221122002.

It is a happy number.

200221122212001 is a `hidden beast` number, since 20 + 0 + 221 + 1 + 2 + 221 + 200 + 1 = 666.

200221122212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200221122212001 - 26 = 200221122211937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200221122212009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13283820 + ... + 24018786.

Almost surely, 2200221122212001 is an apocalyptic number.

It is an amenable number.

200221122212001 is a deficient number, since it is larger than the sum of its proper divisors (130663397610207).

200221122212001 is a wasteful number, since it uses less digits than its factorization.

200221122212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735185 (or 10735154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200221122212001 its reverse (100212221122002), we get a palindrome (300433343334003).

The spelling of 200221122212001 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, one".

Divisors: 1 3 9 11 27 33 81 99 121 173 297 363 519 891 1089 1331 1557 1903 3267 3993 4671 5709 9801 11979 14013 17127 20933 35937 51381 62799 107811 154143 188397 230263 565191 690789 1695573 2072367 6217101 10734967 18651303 32204901 96614703 118084637 289844109 354253911 869532327 1062761733 1298931007 1857149291 3188285199 3896793021 5571447873 9564855597 11690379063 14288241077 16714343619 20428642201 35071137189 42864723231 50143030857 61285926603 105213411567 128594169693 150429092571 183857779809 224715064211 385782509079 551573339427 674145192633 1157347527237 1654720018281 2022435577899 2471865706321 6067306733697 7415597118963 18201920201091 22246791356889 66740374070667 200221122212001