Search a number
-
+
132131121140133 = 3214681235682237
BaseRepresentation
bin11110000010110000101100…
…100010100001000110100101
3122022211121112000102012111100
4132002300230202201012211
5114304314014002441013
61145004111000030313
736555105233415153
oct3602605442410645
9568747460365440
10132131121140133
1139112548261335
121299ba91162399
135895bb00640bb
14248b274d9a3d3
151042078a49473
hex782c2c8a11a5

132131121140133 has 6 divisors (see below), whose sum is σ = 190856063869094. Its totient is φ = 88087414093416.

The previous prime is 132131121140101. The next prime is 132131121140267. The reversal of 132131121140133 is 331041121131231.

132131121140133 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 11 + 211 + 401 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131523441646689 + 607679493444 = 11468367^2 + 779538^2 .

It is not a de Polignac number, because 132131121140133 - 25 = 132131121140101 is a prime.

It is a super-3 number, since 3×1321311211401333 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132131121140097 and 132131121140106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131121144133) 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 5 ways as a sum of consecutive naturals, for example, 7340617841110 + ... + 7340617841127.

Almost surely, 2132131121140133 is an apocalyptic number.

It is an amenable number.

132131121140133 is a deficient number, since it is larger than the sum of its proper divisors (58724942728961).

132131121140133 is a wasteful number, since it uses less digits than its factorization.

132131121140133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14681235682243 (or 14681235682240 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 132131121140133 its reverse (331041121131231), we get a palindrome (463172242271364).

The spelling of 132131121140133 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 9 14681235682237 44043707046711 132131121140133