Search a number
-
+
13401210431 = 741532713251
BaseRepresentation
bin11000111101100011…
…00011111000111111
31021120221202000201002
430132301203320333
5204421202213211
610053442240515
7653044260230
oct143661437077
937527660632
1013401210431
1157576a7824
12272005613b
13135754821b
14911b67087
155367a403b
hex31ec63e3f

13401210431 has 32 divisors (see below), whose sum is σ = 16049166336. Its totient is φ = 10951200000.

The previous prime is 13401210421. The next prime is 13401210469.

13401210431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13401210431 - 210 = 13401209407 is a prime.

It is a super-2 number, since 2×134012104312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401210401) 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, 4120556 + ... + 4123806.

It is an arithmetic number, because the mean of its divisors is an integer number (501536448).

Almost surely, 213401210431 is an apocalyptic number.

13401210431 is a deficient number, since it is larger than the sum of its proper divisors (2647955905).

13401210431 is a wasteful number, since it uses less digits than its factorization.

13401210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 13401210431 in words is "thirteen billion, four hundred one million, two hundred ten thousand, four hundred thirty-one".

Divisors: 1 7 41 53 271 287 371 1897 2173 3251 11111 14363 15211 22757 77777 100541 133291 172303 588883 881021 933037 1206121 4122181 6167147 7064423 36121861 46694113 49450961 252853027 326858791 1914458633 13401210431