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132133001 = 71113132001
BaseRepresentation
bin1111110000000…
…11000010001001
3100012122001101212
413320003002021
5232311224001
621040022505
73163053260
oct770030211
9305561355
10132133001
1168649530
1238301a35
13214b4610
14137975d7
15b9007bb
hex7e03089

132133001 has 16 divisors (see below), whose sum is σ = 177410688. Its totient is φ = 95040000.

The previous prime is 132132991. The next prime is 132133007. The reversal of 132133001 is 100331231.

It is not a de Polignac number, because 132133001 - 210 = 132131977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132133007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65000 + ... + 67001.

It is an arithmetic number, because the mean of its divisors is an integer number (11088168).

Almost surely, 2132133001 is an apocalyptic number.

132133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132133001 is a deficient number, since it is larger than the sum of its proper divisors (45277687).

132133001 is a wasteful number, since it uses less digits than its factorization.

132133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132032.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 132133001 is about 11494.9119613854. The cubic root of 132133001 is about 509.3352880629.

Adding to 132133001 its reverse (100331231), we get a palindrome (232464232).

The spelling of 132133001 in words is "one hundred thirty-two million, one hundred thirty-three thousand, one".

Divisors: 1 7 11 13 77 91 143 1001 132001 924007 1452011 1716013 10164077 12012091 18876143 132133001