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13243132221 = 31119101209123
BaseRepresentation
bin11000101010101101…
…00010100100111101
31021011221021211011120
430111112202210331
5204110220212341
610030034141153
7646114523634
oct142526424475
937157254146
1013243132221
115686448280
1226971217b9
13133087b417
148d8b7851b
1552797b066
hex3155a293d

13243132221 has 32 divisors (see below), whose sum is σ = 20477422080. Its totient is φ = 7528392000.

The previous prime is 13243132171. The next prime is 13243132223. The reversal of 13243132221 is 12223134231.

13243132221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13243132221 - 210 = 13243131197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13243132191 and 13243132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41235 + ... + 167888.

It is an arithmetic number, because the mean of its divisors is an integer number (639919440).

Almost surely, 213243132221 is an apocalyptic number.

13243132221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13243132221 is a deficient number, since it is larger than the sum of its proper divisors (7234289859).

13243132221 is a wasteful number, since it uses less digits than its factorization.

13243132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209257.

The product of its digits is 1728, while the sum is 24.

Adding to 13243132221 its reverse (12223134231), we get a palindrome (25466266452).

The spelling of 13243132221 in words is "thirteen billion, two hundred forty-three million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 19 33 57 101 209 303 627 1111 1919 3333 5757 21109 63327 209123 627369 2300353 3973337 6901059 11920011 21121423 43706707 63364269 131120121 232335653 401307037 697006959 1203921111 4414377407 13243132221