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132233101 = 71113592239
BaseRepresentation
bin1111110000110…
…11011110001101
3100012211010201021
413320123132031
5232322424401
621042114141
73163651150
oct770333615
9305733637
10132233101
1168707760
123834b951
132151b050
14137c1c97
15b9202a1
hex7e1b78d

132233101 has 32 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 93458880.

The previous prime is 132233083. The next prime is 132233113. The reversal of 132233101 is 101332231.

It is a cyclic number.

It is not a de Polignac number, because 132233101 - 27 = 132232973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57940 + ... + 60178.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2132233101 is an apocalyptic number.

132233101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132233101 is a deficient number, since it is larger than the sum of its proper divisors (48400499).

132233101 is a wasteful number, since it uses less digits than its factorization.

132233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 132233101 is about 11499.2652373967. The cubic root of 132233101 is about 509.4638746451.

Adding to 132233101 its reverse (101332231), we get a palindrome (233565332).

The spelling of 132233101 in words is "one hundred thirty-two million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 2239 4543 5369 8437 15673 24629 29107 59059 132101 172403 203749 320177 924707 1453111 1717313 2241239 10171777 12021191 18890443 132233101