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132134032324133 = 71231133091152161
BaseRepresentation
bin11110000010110011011010…
…000011110011011000100101
3122022211220000220022200011222
4132002303122003303120211
5114304340444233333013
61145005311512510125
736555240333156110
oct3602633203633045
9568756026280158
10132134032324133
1139113801579a24
12129a05640ab345
13589625521c598
14248b46d883577
1510421993e7508
hex782cda0f3625

132134032324133 has 16 divisors (see below), whose sum is σ = 151144482424320. Its totient is φ = 113157136166400.

The previous prime is 132134032324123. The next prime is 132134032324139. The reversal of 132134032324133 is 331423230431231.

It is a cyclic number.

It is not a de Polignac number, because 132134032324133 - 220 = 132134031275557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132134032324093 and 132134032324102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132134032324139) 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 15 ways as a sum of consecutive naturals, for example, 114107573 + ... + 115259733.

It is an arithmetic number, because the mean of its divisors is an integer number (9446530151520).

Almost surely, 2132134032324133 is an apocalyptic number.

It is an amenable number.

132134032324133 is a deficient number, since it is larger than the sum of its proper divisors (19010450100187).

132134032324133 is a wasteful number, since it uses less digits than its factorization.

132134032324133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166708.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 132134032324133 its reverse (331423230431231), we get a palindrome (463557262755364).

The spelling of 132134032324133 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, thirty-two million, three hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 7 1231 8617 13309 93163 1152161 8065127 16383379 114683653 1418310191 9928171337 15334110749 107338775243 18876290332019 132134032324133