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132000695761 = 112330292
BaseRepresentation
bin111101011101111011…
…0101100010111010001
3110121201100121010020211
41322323312230113101
54130314134231021
6140350145004121
712352046254414
oct1727366542721
9417640533224
10132000695761
1150a87a51500
12216ba923641
13c5a853378c
1465630a5b7b
1536788123e1
hex1ebbdac5d1

132000695761 has 9 divisors (see below), whose sum is σ = 145096066843. Its totient is φ = 119996999320.

The previous prime is 132000695737. The next prime is 132000695767. The reversal of 132000695761 is 167596000231.

The square root of 132000695761 is 363319.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71927361 + 131928768400 = 8481^2 + 363220^2 .

It is not a de Polignac number, because 132000695761 - 213 = 132000687569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132000695767) 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 8 ways as a sum of consecutive naturals, for example, 3979995 + ... + 4013023.

Almost surely, 2132000695761 is an apocalyptic number.

132000695761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132000695761 is the 363319-th square number.

132000695761 is the 181660-th centered octagonal number.

It is an amenable number.

132000695761 is a deficient number, since it is larger than the sum of its proper divisors (13095371082).

132000695761 is an frugal number, since it uses more digits than its factorization.

132000695761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66080 (or 33040 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

Adding to 132000695761 its reverse (167596000231), we get a palindrome (299596695992).

The spelling of 132000695761 in words is "one hundred thirty-two billion, six hundred ninety-five thousand, seven hundred sixty-one".

Divisors: 1 11 121 33029 363319 3996509 1090914841 12000063251 132000695761