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13220131001 = 711243477723
BaseRepresentation
bin11000100111111101…
…10011000010111001
31021010100000020102112
430103332303002321
5204033323143001
610023453142105
7645415154660
oct142376630271
937110006375
1013220131001
115674468100
12268b48a935
131328b86c2c
148d5aabdd7
15525935cbb
hex313fb30b9

13220131001 has 48 divisors (see below), whose sum is σ = 17357125632. Its totient is φ = 9846476640.

The previous prime is 13220130991. The next prime is 13220131037. The reversal of 13220131001 is 10013102231.

It is a de Polignac number, because none of the positive numbers 2k-13220131001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13220131091) 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 47 ways as a sum of consecutive naturals, for example, 1707926 + ... + 1715648.

It is an arithmetic number, because the mean of its divisors is an integer number (361606784).

Almost surely, 213220131001 is an apocalyptic number.

13220131001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13220131001 is a deficient number, since it is larger than the sum of its proper divisors (4136994631).

13220131001 is a wasteful number, since it uses less digits than its factorization.

13220131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13220131001 its reverse (10013102231), we get a palindrome (23233233232).

The spelling of 13220131001 in words is "thirteen billion, two hundred twenty million, one hundred thirty-one thousand, one".

Divisors: 1 7 11 43 47 77 121 301 329 473 517 847 2021 3311 3619 5203 5687 7723 14147 22231 36421 39809 54061 84953 155617 244541 332089 362981 594671 934483 1711787 2324623 2540867 3652979 3992791 6541381 15608183 25570853 27949537 40182769 43920701 109257281 171690013 281279383 307444907 1201830091 1888590143 13220131001