Search a number
-
+
1032132330131 = 7188719781307
BaseRepresentation
bin11110000010011111110…
…00011000001010010011
310122200010002001220220012
433001033320120022103
5113402301334031011
62110053253505135
7134366126023550
oct17011770301223
93580102056805
101032132330131
113687a787a131
1214804b0421ab
137643935b236
1437d53b55a27
151bcac691a8b
hexf04fe18293

1032132330131 has 8 divisors (see below), whose sum is σ = 1179587566080. Its totient is φ = 884679034248.

The previous prime is 1032132330059. The next prime is 1032132330167. The reversal of 1032132330131 is 1310332312301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1032132330131 is a prime.

It is a super-2 number, since 2×10321323301312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032132330097 and 1032132330106.

It is not an unprimeable number, because it can be changed into a prime (1032132330181) 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 7 ways as a sum of consecutive naturals, for example, 930380 + ... + 1711686.

It is an arithmetic number, because the mean of its divisors is an integer number (147448445760).

Almost surely, 21032132330131 is an apocalyptic number.

1032132330131 is a deficient number, since it is larger than the sum of its proper divisors (147455235949).

1032132330131 is an equidigital number, since it uses as much as digits as its factorization.

1032132330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970033.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1032132330131 its reverse (1310332312301), we get a palindrome (2342464642432).

The spelling of 1032132330131 in words is "one trillion, thirty-two billion, one hundred thirty-two million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 188719 781307 1321033 5469149 147447475733 1032132330131