Search a number
-
+
132055211333 = 29415317312113
BaseRepresentation
bin111101011111100011…
…0101001110101000101
3110121212011011210120002
41322333012221311011
54130422113230313
6140355413251045
712353310530063
oct1727706516505
9417764153502
10132055211333
11510057a68a1
1221715033a85
13c5b6910306
14656a417033
15367d4d0058
hex1ebf1a9d45

132055211333 has 32 divisors (see below), whose sum is σ = 143417161440. Its totient is φ = 121329295360.

The previous prime is 132055211311. The next prime is 132055211359. The reversal of 132055211333 is 333112550231.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20740896289 + 111314315044 = 144017^2 + 333638^2 .

It is a cyclic number.

It is not a de Polignac number, because 132055211333 - 218 = 132054949189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 132055211296 and 132055211305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132055211303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10895885 + ... + 10907997.

It is an arithmetic number, because the mean of its divisors is an integer number (4481786295).

Almost surely, 2132055211333 is an apocalyptic number.

It is an amenable number.

132055211333 is a deficient number, since it is larger than the sum of its proper divisors (11361950107).

132055211333 is a wasteful number, since it uses less digits than its factorization.

132055211333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12409.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 132055211333 its reverse (333112550231), we get a palindrome (465167761564).

The spelling of 132055211333 in words is "one hundred thirty-two billion, fifty-five million, two hundred eleven thousand, three hundred thirty-three".

Divisors: 1 29 41 53 173 1189 1537 2173 5017 7093 9169 12113 63017 205697 265901 351277 375929 496633 641989 2095549 10901941 14402357 18617681 26321549 60770921 85917509 111064097 763324921 2491607761 3220858813 4553627977 132055211333