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132033013123110 = 235111087393679453
BaseRepresentation
bin11110000001010101010100…
…110110001000100000100110
3122022111020021200212112222020
4132001111110312020200212
5114301212102324414420
61144451043500444010
736545033102136051
oct3601252466104046
9568436250775866
10132033013123110
11390849828a6030
1212984a70b49606
13588987650c118
142486609317a98
15103e735987340
hex781554d88826

132033013123110 has 64 divisors (see below), whose sum is σ = 345689707357440. Its totient is φ = 32007700126080.

The previous prime is 132033013123051. The next prime is 132033013123111. The reversal of 132033013123110 is 11321310330231.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033013123111) 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 31 ways as a sum of consecutive naturals, for example, 34044144 + ... + 37723596.

It is an arithmetic number, because the mean of its divisors is an integer number (5401401677460).

Almost surely, 2132033013123110 is an apocalyptic number.

132033013123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132033013123110 is an abundant number, since it is smaller than the sum of its proper divisors (213656694234330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132033013123110 is a wasteful number, since it uses less digits than its factorization.

132033013123110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788213.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132033013123110 its reverse (11321310330231), we get a palindrome (143354323453341).

The spelling of 132033013123110 in words is "one hundred thirty-two trillion, thirty-three billion, thirteen million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 108739 217478 326217 543695 652434 1087390 1196129 1631085 2392258 3262170 3588387 3679453 5980645 7176774 7358906 11038359 11961290 17941935 18397265 22076718 35883870 36794530 40473983 55191795 80947966 110383590 121421949 202369915 242843898 404739830 607109745 1214219490 400100039767 800200079534 1200300119301 2000500198835 2400600238602 4001000397670 4401100437437 6001500596505 8802200874874 12003001193010 13203301312311 22005502187185 26406602624622 44011004374370 66016506561555 132033013123110