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13132201221 = 341213133657
BaseRepresentation
bin11000011101011110…
…10111110100000101
31020220012112221110000
430032233113310011
5203343320414341
610011032351513
7643266603636
oct141657276405
936805487400
1013132201221
115629870167
122665b45599
1313138ab389
148c813d88d
1551cd678b6
hex30ebd7d05

13132201221 has 20 divisors (see below), whose sum is σ = 19633558252. Its totient is φ = 8747517888.

The previous prime is 13132201169. The next prime is 13132201237. The reversal of 13132201221 is 12210223131.

It can be written as a sum of positive squares in 2 ways, for example, as 162180225 + 12970020996 = 12735^2 + 113886^2 .

It is not a de Polignac number, because 13132201221 - 213 = 13132193029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132201194 and 13132201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132203221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31425 + ... + 165081.

Almost surely, 213132201221 is an apocalyptic number.

It is an amenable number.

13132201221 is a deficient number, since it is larger than the sum of its proper divisors (6501357031).

13132201221 is a wasteful number, since it uses less digits than its factorization.

13132201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134882 (or 134873 counting only the distinct ones).

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

Adding to 13132201221 its reverse (12210223131), we get a palindrome (25342424352).

The spelling of 13132201221 in words is "thirteen billion, one hundred thirty-two million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 1213 3639 10917 32751 98253 133657 400971 1202913 3608739 10826217 162125941 486377823 1459133469 4377400407 13132201221