Search a number
-
+
610041311 = 11173788169
BaseRepresentation
bin100100010111000…
…111110111011111
31120111220022100122
4210113013313133
52222132310221
6140311145155
721055160045
oct4427076737
91514808318
10610041311
11293397080
121503751bb
13995031b9
145b03c395
1538852eab
hex245c7ddf

610041311 has 16 divisors (see below), whose sum is σ = 723699360. Its totient is φ = 507847680.

The previous prime is 610041287. The next prime is 610041317. The reversal of 610041311 is 113140016.

It is a cyclic number.

It is not a de Polignac number, because 610041311 - 218 = 609779167 is a prime.

It is a super-2 number, since 2×6100413112 = 744300802253197442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 610041311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610041317) 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 15 ways as a sum of consecutive naturals, for example, 37166 + ... + 51003.

It is an arithmetic number, because the mean of its divisors is an integer number (45231210).

Almost surely, 2610041311 is an apocalyptic number.

610041311 is a deficient number, since it is larger than the sum of its proper divisors (113658049).

610041311 is a wasteful number, since it uses less digits than its factorization.

610041311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88234.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 610041311 is about 24699.0143730474. The cubic root of 610041311 is about 848.1117535280. Note that the first 3 decimals are identical.

Adding to 610041311 its reverse (113140016), we get a palindrome (723181327).

The spelling of 610041311 in words is "six hundred ten million, forty-one thousand, three hundred eleven".

Divisors: 1 11 17 37 187 407 629 6919 88169 969859 1498873 3262253 16487603 35884783 55458301 610041311