Search a number
-
+
13431320214 = 2313319415903
BaseRepresentation
bin11001000001001000…
…11010111010010110
31021200001101202120020
430200210122322112
5210001404221324
610100435450010
7653561223654
oct144044327226
937601352506
1013431320214
1157726a2744
12272a156906
13136085b170
14915b63dd4
15539250679
hex32091ae96

13431320214 has 64 divisors (see below), whose sum is σ = 29898989568. Its totient is φ = 3994473600.

The previous prime is 13431320213. The next prime is 13431320249. The reversal of 13431320214 is 41202313431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431320213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2272387 + ... + 2278289.

It is an arithmetic number, because the mean of its divisors is an integer number (467171712).

Almost surely, 213431320214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431320214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949494784).

13431320214 is an abundant number, since it is smaller than the sum of its proper divisors (16467669354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13431320214 is a wasteful number, since it uses less digits than its factorization.

13431320214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893.

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

Adding to 13431320214 its reverse (41202313431), we get a palindrome (54633633645).

The spelling of 13431320214 in words is "thirteen billion, four hundred thirty-one million, three hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 941 1209 1882 2418 2823 5646 5903 11806 12233 17709 24466 29171 35418 36699 58342 73398 76739 87513 153478 175026 182993 230217 365986 379223 460434 548979 758446 1097958 1137669 2275338 2378909 4757818 5554723 7136727 11109446 14273454 16664169 33328338 72211399 144422798 172196413 216634197 344392826 433268394 516589239 1033178478 2238553369 4477106738 6715660107 13431320214