Search a number
-
+
1301610141 = 34134492753
BaseRepresentation
bin100110110010100…
…1111111010011101
310100201012122110000
41031211033322131
510131203011031
6333054004513
744153334516
oct11545177235
93321178400
101301610141
116087a7a67
12303aa6739
1317987cb20
14c4c1da0d
157940c3e6
hex4d94fe9d

1301610141 has 40 divisors (see below), whose sum is σ = 2099374200. Its totient is φ = 798916608.

The previous prime is 1301610119. The next prime is 1301610157. The reversal of 1301610141 is 1410161031.

1301610141 is a `hidden beast` number, since 13 + 0 + 1 + 610 + 1 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312759225 + 988850916 = 17685^2 + 31446^2 .

It is not a de Polignac number, because 1301610141 - 25 = 1301610109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301610041) 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 39 ways as a sum of consecutive naturals, for example, 471421 + ... + 474173.

It is an arithmetic number, because the mean of its divisors is an integer number (52484355).

Almost surely, 21301610141 is an apocalyptic number.

It is an amenable number.

1301610141 is a deficient number, since it is larger than the sum of its proper divisors (797764059).

1301610141 is a wasteful number, since it uses less digits than its factorization.

1301610141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1301610141 is about 36077.8344832392. The cubic root of 1301610141 is about 1091.8432859881.

Adding to 1301610141 its reverse (1410161031), we get a palindrome (2711771172).

The spelling of 1301610141 in words is "one billion, three hundred one million, six hundred ten thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 449 1053 1347 2753 4041 5837 8259 12123 17511 24777 35789 36369 52533 74331 107367 157599 222993 322101 472797 966303 1236097 2898909 3708291 11124873 16069261 33374619 48207783 100123857 144623349 433870047 1301610141