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13232320101 = 327211133753107
BaseRepresentation
bin11000101001011010…
…10010111001100101
31021011011221111201200
430110231102321211
5204044433220401
610025010313113
7645623602500
oct142455227145
937134844650
1013232320101
115680332a40
122693588799
13132b564010
148d7562137
15526a42686
hex314b52e65

13232320101 has 288 divisors, whose sum is σ = 27588532608. Its totient is φ = 6000583680.

The previous prime is 13232320091. The next prime is 13232320103. The reversal of 13232320101 is 10102323231.

13232320101 is a `hidden beast` number, since 13 + 232 + 320 + 101 = 666.

13232320101 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 13232320101 - 27 = 13232319973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232320103) 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 287 ways as a sum of consecutive naturals, for example, 123666490 + ... + 123666596.

It is an arithmetic number, because the mean of its divisors is an integer number (95793516).

Almost surely, 213232320101 is an apocalyptic number.

13232320101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13232320101 is an abundant number, since it is smaller than the sum of its proper divisors (14356212507).

13232320101 is a wasteful number, since it uses less digits than its factorization.

13232320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13232320101 its reverse (10102323231), we get a palindrome (23334643332).

It can be divided in two parts, 13232 and 320101, that added together give a palindrome (333333).

The spelling of 13232320101 in words is "thirteen billion, two hundred thirty-two million, three hundred twenty thousand, one hundred one".