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221201302311 = 32113172076019
BaseRepresentation
bin1100111000000010100…
…0000000001100100111
3210010221220021102201100
43032000220000030213
512111010013133221
6245341331331143
721660401022003
oct3160050001447
9703856242640
10221201302311
11858a1406450
1236a53a50ab3
1317b22855c82
14a9c5b55703
155b498d6926
hex3380a00327

221201302311 has 24 divisors (see below), whose sum is σ = 359803491840. Its totient is φ = 129736832400.

The previous prime is 221201302297. The next prime is 221201302363. The reversal of 221201302311 is 113203102122.

221201302311 is a `hidden beast` number, since 221 + 2 + 0 + 130 + 2 + 311 = 666.

It is not a de Polignac number, because 221201302311 - 211 = 221201300263 is a prime.

It is a super-2 number, since 2×2212013023112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221201302211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36034941 + ... + 36041078.

It is an arithmetic number, because the mean of its divisors is an integer number (14991812160).

Almost surely, 2221201302311 is an apocalyptic number.

221201302311 is a deficient number, since it is larger than the sum of its proper divisors (138602189529).

221201302311 is a wasteful number, since it uses less digits than its factorization.

221201302311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72076067 (or 72076064 counting only the distinct ones).

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

Adding to 221201302311 its reverse (113203102122), we get a palindrome (334404404433).

The spelling of 221201302311 in words is "two hundred twenty-one billion, two hundred one million, three hundred two thousand, three hundred eleven".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 72076019 216228057 648684171 792836209 2234356589 2378508627 6703069767 7135525881 20109209301 24577922479 73733767437 221201302311