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132220316013555 = 3573118328147643
BaseRepresentation
bin11110000100000011110000…
…111101111101001111110011
3122100011010202011022020120210
4132010003300331331033303
5114312244201344413210
61145113101415435203
736564413455344000
oct3604036075751763
9570133664266523
10132220316013555
113914735945a960
12129b5224385b03
1358a1426129c03
1424916d6d968a7
151044549389e20
hex7840f0f7d3f3

132220316013555 has 128 divisors (see below), whose sum is σ = 272379121459200. Its totient is φ = 54286668266880.

The previous prime is 132220316013469. The next prime is 132220316013557. The reversal of 132220316013555 is 555310613022231.

It is not a de Polignac number, because 132220316013555 - 214 = 132220315997171 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132220316013557) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9376437 + ... + 18771206.

It is an arithmetic number, because the mean of its divisors is an integer number (2127961886400).

Almost surely, 2132220316013555 is an apocalyptic number.

132220316013555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132220316013555 is an abundant number, since it is smaller than the sum of its proper divisors (140158805445645).

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

132220316013555 is a wasteful number, since it uses less digits than its factorization.

132220316013555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28147766 (or 28147752 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

Adding to 132220316013555 its reverse (555310613022231), we get a palindrome (687530929035786).

The spelling of 132220316013555 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred sixteen million, thirteen thousand, five hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 83 105 147 165 231 245 249 343 385 415 539 581 735 913 1029 1155 1245 1617 1715 1743 2695 2739 2905 3773 4067 4565 5145 6391 8085 8715 11319 12201 13695 18865 19173 20335 28469 31955 44737 56595 61005 85407 95865 134211 142345 223685 313159 427035 671055 939477 1565795 4697385 28147643 84442929 140738215 197033501 309624073 422214645 591100503 928872219 985167505 1379234507 1548120365 2167368511 2336254369 2955502515 4137703521 4644361095 6502105533 6896172535 7008763107 9654641549 10836842555 11681271845 15171579577 16353780583 20688517605 25698798059 28963924647 32510527665 35043815535 45514738731 48273207745 49061341749 75857897885 77096394177 81768902915 106201057039 114476464081 128493990295 144819623235 179891586413 227573693655 245306708745 318603171117 343429392243 385481970885 531005285195 539674759239 572382320405 801335248567 899457932065 1259241104891 1593015855585 1717146961215 2404005745701 2698373796195 3777723314673 4006676242835 6296205524455 8814687734237 12020028728505 18888616573365 26444063202711 44073438671185 132220316013555