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132220303411455 = 32571939475597149
BaseRepresentation
bin11110000100000011110000…
…001101111000100011111111
3122100011010201021120222202100
4132010003300031320203333
5114312244140133131310
61145113100245400143
736564413243256120
oct3604036015704377
9570133637528670
10132220303411455
11391473523327a6
12129b5220109053
1358a1423636b4c
1424916d5436047
1510445481eaec0
hex7840f03788ff

132220303411455 has 96 divisors (see below), whose sum is σ = 275777401536000. Its totient is φ = 57247808852736.

The previous prime is 132220303411453. The next prime is 132220303411477. The reversal of 132220303411455 is 554114303022231.

132220303411455 is a `hidden beast` number, since 1 + 3 + 2 + 220 + 30 + 341 + 14 + 55 = 666.

It is not a de Polignac number, because 132220303411455 - 21 = 132220303411453 is a prime.

It is a super-2 number, since 2×1322203034114552 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220303411453) 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, 20824221 + ... + 26421369.

It is an arithmetic number, because the mean of its divisors is an integer number (2872681266000).

Almost surely, 2132220303411455 is an apocalyptic number.

132220303411455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132220303411455 is an abundant number, since it is smaller than the sum of its proper divisors (143557098124545).

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

132220303411455 is a wasteful number, since it uses less digits than its factorization.

132220303411455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601133 (or 5601130 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 132220303411455 its reverse (554114303022231), we get a palindrome (686334606433686).

The spelling of 132220303411455 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred three million, four hundred eleven thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 3947 5985 11841 19735 27629 35523 59205 74993 82887 138145 177615 224979 248661 374965 414435 524951 674937 1124895 1243305 1574853 2624755 3374685 4724559 5597149 7874265 16791447 23622795 27985745 39180043 50374341 83957235 106345831 117540129 195900215 251871705 319037493 352620387 531729155 587700645 744420817 957112479 1595187465 1763101935 2233262451 3722104085 4785562395 6699787353 11166312255 22091947103 33498936765 66275841309 110459735515 154643629721 198827523927 331379206545 419746994957 463930889163 773218148605 994137619635 1259240984871 1391792667489 2098734974785 2319654445815 2938228964699 3777722954613 6296204924355 6958963337445 8814686894097 14691144823495 18888614773065 26444060682291 44073434470485 132220303411455