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200101003312221 = 3411246344095867
BaseRepresentation
bin101101011111110110100101…
…001110001011110001011101
3222020111110122222011221110000
4231133312211032023301131
5202211423323321442341
61545325044253004513
760101551254310524
oct5537664516136135
9866443588157400
10200101003312221
11588383a4824800
121a538ab9183739
13878659c8c829b
14375ad240154bb
1518201464118b6
hexb5fda538bc5d

200101003312221 has 60 divisors (see below), whose sum is σ = 329270548927936. Its totient is φ = 121011403146480.

The previous prime is 200101003312193. The next prime is 200101003312253. The reversal of 200101003312221 is 122213300101002.

200101003312221 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 100 + 331 + 2 + 221 = 666.

It is not a de Polignac number, because 200101003312221 - 213 = 200101003304029 is a prime.

It is a super-2 number, since 2×2001010033122212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200101003312194 and 200101003312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200601003312221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17510071 + ... + 26585796.

Almost surely, 2200101003312221 is an apocalyptic number.

It is an amenable number.

200101003312221 is a deficient number, since it is larger than the sum of its proper divisors (129169545615715).

200101003312221 is a wasteful number, since it uses less digits than its factorization.

200101003312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44096364 (or 44096344 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200101003312221 its reverse (122213300101002), we get a palindrome (322314303413223).

The spelling of 200101003312221 in words is "two hundred trillion, one hundred one billion, three million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 463 891 1089 1389 3267 4167 5093 9801 12501 15279 37503 45837 56023 137511 168069 412533 504207 1512621 4537863 44095867 132287601 396862803 485054537 1190588409 1455163611 3571765227 4365490833 5335599907 13096472499 16006799721 20416386421 39289417497 48020399163 61249159263 144061197489 183747477789 224580250631 432183592467 551242433367 673740751893 1653727300101 2021222255679 2470382756941 6063666767037 7411148270823 18191000301111 22233444812469 66700334437407 200101003312221