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202221011020221 = 33411153158434351
BaseRepresentation
bin101101111110101100111111…
…100001110010100110111101
3222112000010202221201000022000
4231332230333201302212331
5203001142112310121341
61554031014443412513
760410662111433364
oct5576547741624675
9875003687630260
10202221011020221
11594854a3914856
121a81b953524139
1388ab489b1525b
1437d1798c567db
15185a374db88b6
hexb7eb3f8729bd

202221011020221 has 32 divisors (see below), whose sum is σ = 307159846909440. Its totient is φ = 131411787264000.

The previous prime is 202221011020207. The next prime is 202221011020241. The reversal of 202221011020221 is 122020110122202.

It is a happy number.

202221011020221 is a `hidden beast` number, since 20 + 222 + 101 + 102 + 0 + 221 = 666.

It is not a de Polignac number, because 202221011020221 - 245 = 167036638931389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202221011020194 and 202221011020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221011020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77940805 + ... + 80493546.

It is an arithmetic number, because the mean of its divisors is an integer number (9598745215920).

Almost surely, 2202221011020221 is an apocalyptic number.

It is an amenable number.

202221011020221 is a deficient number, since it is larger than the sum of its proper divisors (104938835889219).

202221011020221 is a wasteful number, since it uses less digits than its factorization.

202221011020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158435554 (or 158435548 counting only the distinct ones).

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

Adding to 202221011020221 its reverse (122020110122202), we get a palindrome (324241121142423).

The spelling of 202221011020221 in words is "two hundred two trillion, two hundred twenty-one billion, eleven million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 41 123 369 1107 1153 3459 10377 31131 47273 141819 425457 1276371 158434351 475303053 1425909159 4277727477 6495808391 19487425173 58462275519 175386826557 182674806703 548024420109 1644073260327 4932219780981 7489667074823 22469001224469 67407003673407 202221011020221