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132123113001 = 321121117093701
BaseRepresentation
bin111101100001100100…
…1101011011000101001
3110122000212221120010200
41323003021223120221
54131042004104001
6140410240502413
712355063634115
oct1730311533051
9418025846120
10132123113001
1151040064380
122173391aa09
13c5c79c5a09
146575450745
153684444086
hex1ec326b629

132123113001 has 48 divisors (see below), whose sum is σ = 209359650240. Its totient is φ = 79626960000.

The previous prime is 132123112999. The next prime is 132123113021. The reversal of 132123113001 is 100311321231.

132123113001 is a `hidden beast` number, since 1 + 321 + 2 + 311 + 30 + 0 + 1 = 666.

It is not a de Polignac number, because 132123113001 - 21 = 132123112999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132123113021) 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 47 ways as a sum of consecutive naturals, for example, 35697451 + ... + 35701151.

It is an arithmetic number, because the mean of its divisors is an integer number (4361659380).

Almost surely, 2132123113001 is an apocalyptic number.

132123113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132123113001 is a deficient number, since it is larger than the sum of its proper divisors (77236537239).

132123113001 is a wasteful number, since it uses less digits than its factorization.

132123113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132123113001 its reverse (100311321231), we get a palindrome (232434434232).

It can be divided in two parts, 13212 and 3113001, that added together give a palindrome (3126213).

The spelling of 132123113001 in words is "one hundred thirty-two billion, one hundred twenty-three million, one hundred thirteen thousand, one".

Divisors: 1 3 9 11 33 99 211 633 1709 1899 2321 3701 5127 6963 11103 15381 18799 20889 33309 40711 56397 122133 169191 360599 366399 780911 1081797 2342733 3245391 3966589 6325009 7028199 8590021 11899767 18975027 25770063 35699301 56925081 69575099 77310189 208725297 626175891 1334576899 4003730697 12011192091 14680345889 44041037667 132123113001