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132287232088341 = 33112151355775389
BaseRepresentation
bin11110000101000010000101…
…011110100001100100010101
3122100101112110122201001101000
4132011002011132201210111
5114314343222403311331
61145203525423253513
736602302634526021
oct3605020536414425
9570345418631330
10132287232088341
113917277787a300
1212a0619a44a299
1358a782b687135
142494a4419b381
151046163d7a0e6
hex7850857a1915

132287232088341 has 96 divisors (see below), whose sum is σ = 216907669036800. Its totient is φ = 79619679216000.

The previous prime is 132287232088337. The next prime is 132287232088343. The reversal of 132287232088341 is 143880232782231.

It is a happy number.

132287232088341 is a `hidden beast` number, since 1 + 3 + 2 + 28 + 72 + 3 + 208 + 8 + 341 = 666.

It is not a de Polignac number, because 132287232088341 - 22 = 132287232088337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132287232088343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1754690875 + ... + 1754766263.

It is an arithmetic number, because the mean of its divisors is an integer number (2259454885800).

Almost surely, 2132287232088341 is an apocalyptic number.

132287232088341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132287232088341 is a deficient number, since it is larger than the sum of its proper divisors (84620436948459).

132287232088341 is a wasteful number, since it uses less digits than its factorization.

132287232088341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79128 (or 79111 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 132287232088341 in words is "one hundred thirty-two trillion, two hundred eighty-seven billion, two hundred thirty-two million, eighty-eight thousand, three hundred forty-one".

Divisors: 1 3 9 11 27 33 99 121 151 297 363 453 1089 1359 1661 3267 3557 4077 4983 10671 14949 18271 32013 39127 44847 54813 75389 96039 117381 164439 226167 352143 430397 493317 537107 678501 829279 1056429 1291191 1611321 2035503 2487837 3873573 4833963 5908177 7463511 9122069 11383739 11620719 14501889 17724531 22390533 27366207 34151217 53173593 64989947 82098621 102453651 125221129 159520779 194969841 246295863 268158673 307360953 375663387 584909523 804476019 1126990161 1377432419 1754728569 2413428057 2949745403 3380970483 4132297257 7240284171 8849236209 12396891771 26547708627 32447199433 37190675313 40491959623 79643125881 97341598299 121475878869 292024794897 364427636607 445411555853 876074384691 1093282909821 1336234667559 4008704002677 4899527114383 12026112008031 14698581343149 44095744029447 132287232088341