Search a number
-
+
301413032001 = 32171970019817
BaseRepresentation
bin1000110001011011001…
…11011110000001000001
31001210222222210111020200
410120231213132001001
514414243214011001
6350244531155413
730530203333224
oct4305547360101
91053888714220
10301413032001
11106912887144
124a4ba745b69
13225667c1013
1410834a875bb
157c9177a086
hex462d9de041

301413032001 has 12 divisors (see below), whose sum is σ = 460984637412. Its totient is φ = 189121902336.

The previous prime is 301413031993. The next prime is 301413032021. The reversal of 301413032001 is 100230314103.

301413032001 is a `hidden beast` number, since 301 + 41 + 3 + 0 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 281298701376 + 20114330625 = 530376^2 + 141825^2 .

It is not a de Polignac number, because 301413032001 - 23 = 301413031993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (301413032021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985009756 + ... + 985010061.

It is an arithmetic number, because the mean of its divisors is an integer number (38415386451).

Almost surely, 2301413032001 is an apocalyptic number.

It is an amenable number.

301413032001 is a deficient number, since it is larger than the sum of its proper divisors (159571605411).

301413032001 is a wasteful number, since it uses less digits than its factorization.

301413032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970019840 (or 1970019837 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 301413032001 its reverse (100230314103), we get a palindrome (401643346104).

The spelling of 301413032001 in words is "three hundred one billion, four hundred thirteen million, thirty-two thousand, one".

Divisors: 1 3 9 17 51 153 1970019817 5910059451 17730178353 33490336889 100471010667 301413032001