Search a number
-
+
401301131 = 72112572897
BaseRepresentation
bin10111111010110…
…101111010001011
31000222010012122212
4113322311322023
51310213114011
6103453135335
712642001100
oct2772657213
91028105585
10401301131
11196584530
12b248a54b
13651a88ba
143b422aa7
152536e08b
hex17eb5e8b

401301131 has 24 divisors (see below), whose sum is σ = 511415856. Its totient is φ = 311377920.

The previous prime is 401301097. The next prime is 401301139. The reversal of 401301131 is 131103104.

It is not a de Polignac number, because 401301131 - 214 = 401284747 is a prime.

It is a super-2 number, since 2×4013011312 = 322085195483758322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401301139) 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 23 ways as a sum of consecutive naturals, for example, 137075 + ... + 139971.

It is an arithmetic number, because the mean of its divisors is an integer number (21308994).

Almost surely, 2401301131 is an apocalyptic number.

401301131 is a deficient number, since it is larger than the sum of its proper divisors (110114725).

401301131 is a wasteful number, since it uses less digits than its factorization.

401301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3172 counting only the distinct ones).

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

The square root of 401301131 is about 20032.5018657181. The cubic root of 401301131 is about 737.6043363254.

Adding to 401301131 its reverse (131103104), we get a palindrome (532404235).

The spelling of 401301131 in words is "four hundred one million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 7 11 49 77 257 539 1799 2827 2897 12593 19789 20279 31867 138523 141953 223069 744529 1561483 5211703 8189819 36481921 57328733 401301131