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132321215205045 = 355711823841411
BaseRepresentation
bin11110000101100001101111…
…000001110100111010110101
3122100111210011222221020200000
4132011201233001310322311
5114320422322043030140
61145231305503341513
736604615031333016
oct3605415701647265
9570453158836600
10132321215205045
1139186126415919
1212a108a32b1899
1358aaab600c009
14249654960300d
151046ea24e1a30
hex78586f074eb5

132321215205045 has 96 divisors (see below), whose sum is σ = 241334086017024. Its totient is φ = 69539103547200.

The previous prime is 132321215205013. The next prime is 132321215205097. The reversal of 132321215205045 is 540502512123231.

132321215205045 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 121 + 5 + 20 + 504 + 5 = 666.

It is not a de Polignac number, because 132321215205045 - 25 = 132321215205013 is a prime.

It is a super-4 number, since 4×1323212152050454 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156840390 + ... + 157681800.

It is an arithmetic number, because the mean of its divisors is an integer number (2513896729344).

Almost surely, 2132321215205045 is an apocalyptic number.

132321215205045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132321215205045 is a deficient number, since it is larger than the sum of its proper divisors (109012870811979).

132321215205045 is an equidigital number, since it uses as much as digits as its factorization.

132321215205045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843325 (or 843313 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 132321215205045 its reverse (540502512123231), we get a palindrome (672823727328276).

The spelling of 132321215205045 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, two hundred fifteen million, two hundred five thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 71 81 135 213 243 355 405 639 1065 1215 1823 1917 3195 5469 5751 9115 9585 16407 17253 27345 28755 49221 82035 86265 129433 147663 246105 388299 442989 647165 738315 841411 1164897 1941495 2214945 2524233 3494691 4207055 5824485 7572699 10484073 12621165 17473455 22718097 31452219 37863495 52420365 59740181 68154291 113590485 157261095 179220543 204462873 298700905 340771455 537661629 896102715 1022314365 1533892253 1612984887 2688308145 4601676759 4838954661 7669461265 8064924435 13805030277 14516863983 23008383795 24194773305 41415090831 69025151385 72584319915 108906349963 124245272493 207075454155 326719049889 372735817479 544531749815 621226362465 980157149667 1633595249445 1863679087395 2940471449001 4900785748335 8821414347003 14702357245005 26464243041009 44107071735015 132321215205045