Search a number
-
+
132013331321301 = 3250487129053259
BaseRepresentation
bin11110000001000010111111…
…101110000001000111010101
3122022102100111001002102120200
4132001002333232001013111
5114300401300304240201
61144434030455251113
736543435262444503
oct3601027756010725
9568370431072520
10132013331321301
11390775a2a50021
1212981099679a99
135887a5aa34551
14248569d3c1673
15103de82b22386
hex7810bfb811d5

132013331321301 has 12 divisors (see below), whose sum is σ = 190686307275360. Its totient is φ = 88008710198760.

The previous prime is 132013331321243. The next prime is 132013331321303. The reversal of 132013331321301 is 103123133310231.

132013331321301 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 3 + 3 + 31 + 321 + 301 = 666.

It is not a de Polignac number, because 132013331321301 - 222 = 132013327126997 is a prime.

It is a super-3 number, since 3×1320133313213013 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013331321303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9982791 + ... + 19070468.

It is an arithmetic number, because the mean of its divisors is an integer number (15890525606280).

Almost surely, 2132013331321301 is an apocalyptic number.

It is an amenable number.

132013331321301 is a deficient number, since it is larger than the sum of its proper divisors (58672975954059).

132013331321301 is a wasteful number, since it uses less digits than its factorization.

132013331321301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558136 (or 29558133 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132013331321301 its reverse (103123133310231), we get a palindrome (235136464631532).

The spelling of 132013331321301 in words is "one hundred thirty-two trillion, thirteen billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred one".

Divisors: 1 3 9 504871 1514613 4543839 29053259 87159777 261479331 14668147924589 44004443773767 132013331321301