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221301121133301 = 311241122343124489
BaseRepresentation
bin110010010100010110101110…
…101101101010101011110101
31002000120011212122001111012220
4302110112232231222223311
5213001244144002231201
62102400155341032553
764420323040443246
oct6224265655525365
91060504778044186
10221301121133301
1164571307631620
12209a1781855759
1396637b5a09c21
143c910622aaccd
151a8b83b4a8036
hexc945aeb6aaf5

221301121133301 has 32 divisors (see below), whose sum is σ = 322043049538560. Its totient is φ = 134059185187200.

The previous prime is 221301121133251. The next prime is 221301121133359. The reversal of 221301121133301 is 103331121103122.

It is not a de Polignac number, because 221301121133301 - 214 = 221301121116917 is a prime.

It is a super-2 number, since 2×2213011211333012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221301121133381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777613865 + ... + 1777738353.

It is an arithmetic number, because the mean of its divisors is an integer number (10063845298080).

Almost surely, 2221301121133301 is an apocalyptic number.

It is an amenable number.

221301121133301 is a deficient number, since it is larger than the sum of its proper divisors (100741928405259).

221301121133301 is a wasteful number, since it uses less digits than its factorization.

221301121133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149257.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 221301121133301 its reverse (103331121103122), we get a palindrome (324632242236423).

The spelling of 221301121133301 in words is "two hundred twenty-one trillion, three hundred one billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 11 33 2411 7233 22343 26521 67029 79563 124489 245773 373467 737319 1369379 4108137 53868973 161606919 300142979 592558703 900428937 1777676109 2781457727 3301572769 8344373181 9904718307 30596034997 91788104991 6706094579797 20118283739391 73767040377767 221301121133301