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13362131321 = 711297278231
BaseRepresentation
bin11000111000111000…
…11111000101111001
31021111020012121020122
430130130133011321
5204331201200241
610045524503025
7652061146040
oct143434370571
937436177218
1013362131321
115737636040
12270ab4aa75
13134c4148a6
1490a8b3557
1553313504b
hex31c71f179

13362131321 has 32 divisors (see below), whose sum is σ = 17259540480. Its totient is φ = 10037966400.

The previous prime is 13362131303. The next prime is 13362131347. The reversal of 13362131321 is 12313126331.

It is not a de Polignac number, because 13362131321 - 218 = 13361869177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13362131371) 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 31 ways as a sum of consecutive naturals, for example, 1619276 + ... + 1627506.

It is an arithmetic number, because the mean of its divisors is an integer number (539360640).

Almost surely, 213362131321 is an apocalyptic number.

13362131321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13362131321 is a deficient number, since it is larger than the sum of its proper divisors (3897409159).

13362131321 is a wasteful number, since it uses less digits than its factorization.

13362131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005.

The product of its digits is 1944, while the sum is 26.

Adding to 13362131321 its reverse (12313126331), we get a palindrome (25675257652).

The spelling of 13362131321 in words is "thirteen billion, three hundred sixty-two million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 29 77 203 319 727 2233 5089 7997 8231 21083 55979 57617 90541 147581 231913 238699 633787 1623391 1670893 2625689 5983937 18379823 41887559 65823307 173534173 460763149 1214739211 1908875903 13362131321