Search a number
-
+
13302620331 = 37112132317509
BaseRepresentation
bin11000110001110010…
…11110000010101011
31021100002020010111220
430120321132002223
5204220432322311
610040001153123
7650436256440
oct143071360253
937302203456
1013302620331
115706a89600
1226b302b7a3
13133cca93a0
14902a219c7
1552cccc206
hex318e5e0ab

13302620331 has 96 divisors (see below), whose sum is σ = 25039580160. Its totient is φ = 6101187840.

The previous prime is 13302620311. The next prime is 13302620339.

It is a happy number.

13302620331 is nontrivially palindromic in base 10.

13302620331 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 13302620331 - 26 = 13302620267 is a prime.

It is a super-2 number, since 2×133026203312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13302620339) 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 95 ways as a sum of consecutive naturals, for example, 751005 + ... + 768513.

It is an arithmetic number, because the mean of its divisors is an integer number (260828960).

Almost surely, 213302620331 is an apocalyptic number.

13302620331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13302620331 is a deficient number, since it is larger than the sum of its proper divisors (11736959829).

13302620331 is a wasteful number, since it uses less digits than its factorization.

13302620331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17577 (or 17566 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The spelling of 13302620331 in words is "thirteen billion, three hundred two million, six hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 121 143 161 231 253 273 299 363 429 483 759 847 897 1001 1573 1771 2093 2541 2783 3003 3289 4719 5313 6279 8349 9867 11011 17509 19481 23023 33033 36179 52527 58443 69069 108537 122563 192599 227617 253253 367689 402707 577797 682851 759759 1208121 1348193 1593319 2118589 2503787 2818949 4044579 4429777 4779957 5235191 6355767 7511361 8456847 13289331 14830123 15705573 17526509 27541657 31008439 36646337 44490369 48727547 52579527 57587101 82624971 93025317 109939011 146182641 172761303 192791599 341092829 403109707 578374797 633458111 1023278487 1209329121 1900374333 4434206777 13302620331