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221303211031221 = 311171076067607669
BaseRepresentation
bin110010010100011000101011…
…010001111111101010110101
31002000120101021021120022012120
4302110120223101333222311
5213001312434010444341
62102401142554510153
764420425605334144
oct6224305321775265
91060511237508176
10221303211031221
116457218a29a890
12209a2065735359
139663a5999b907
143c911bda8775b
151a8b90ebc7066
hexc9462b47fab5

221303211031221 has 64 divisors (see below), whose sum is σ = 344073215646720. Its totient is φ = 125032989864960.

The previous prime is 221303211031211. The next prime is 221303211031223. The reversal of 221303211031221 is 122130112303122.

It is not a de Polignac number, because 221303211031221 - 215 = 221303210998453 is a prime.

It is a super-2 number, since 2×2213032110312212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221303211031191 and 221303211031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303211031223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363879975 + ... + 364487643.

It is an arithmetic number, because the mean of its divisors is an integer number (5376143994480).

Almost surely, 2221303211031221 is an apocalyptic number.

It is an amenable number.

221303211031221 is a deficient number, since it is larger than the sum of its proper divisors (122770004615499).

221303211031221 is a wasteful number, since it uses less digits than its factorization.

221303211031221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613874.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221303211031221 its reverse (122130112303122), we get a palindrome (343433323334343).

The spelling of 221303211031221 in words is "two hundred twenty-one trillion, three hundred three billion, two hundred eleven million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 107 187 321 561 1177 1819 3531 5457 6067 18201 20009 60027 66737 103139 200211 309417 607669 649169 1134529 1823007 1947507 3403587 6684359 7140859 10330373 11035873 20053077 21422577 30991119 33107619 65020583 113634103 121394603 195061749 340902309 364183809 715226413 1105349911 2145679239 3316049733 3686727823 11060183469 12158849021 36476547063 40554006053 62674372991 121662018159 188023118973 394479877061 689418102901 1183439631183 2068254308703 4339278647671 6706157910037 13017835943013 20118473730111 73767737010407 221303211031221