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132052441505301 = 361944332036719
BaseRepresentation
bin11110000001100111011010…
…110111100001111000010101
3122022120002102200210122000000
4132001213122313201320111
5114302021400011132201
61144504015410241513
736546321413513532
oct3601473267417025
9568502380718000
10132052441505301
11390921426a2139
1212988793586299
13588b651647965
14248752d723d89
15103eec143ed86
hex7819dade1e15

132052441505301 has 112 divisors (see below), whose sum is σ = 208975276339200. Its totient is φ = 83174915974176.

The previous prime is 132052441505191. The next prime is 132052441505323. The reversal of 132052441505301 is 103505144250231.

132052441505301 is a `hidden beast` number, since 1 + 3 + 20 + 52 + 4 + 4 + 1 + 50 + 530 + 1 = 666.

It is not a de Polignac number, because 132052441505301 - 211 = 132052441503253 is a prime.

It is a super-2 number, since 2×1320524415053012 (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 (132052441506301) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19653582220 + ... + 19653588938.

It is an arithmetic number, because the mean of its divisors is an integer number (1865850681600).

Almost surely, 2132052441505301 is an apocalyptic number.

It is an amenable number.

132052441505301 is a deficient number, since it is larger than the sum of its proper divisors (76922834833899).

132052441505301 is an equidigital number, since it uses as much as digits as its factorization.

132052441505301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10387 counting only the distinct ones).

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

Adding to 132052441505301 its reverse (103505144250231), we get a palindrome (235557585755532).

The spelling of 132052441505301 in words is "one hundred thirty-two trillion, fifty-two billion, four hundred forty-one million, five hundred five thousand, three hundred one".

Divisors: 1 3 9 19 27 57 81 171 243 443 513 729 1329 1539 3203 3987 4617 6719 8417 9609 11961 13851 20157 25251 28827 35883 60471 60857 75753 86481 107649 127661 181413 182571 227259 259443 322947 382983 544239 547713 681777 778329 1148949 1418929 1632717 1643139 2045331 2334987 2976517 3446847 4256787 4898151 4929417 6135993 8929551 10340541 12770361 14788251 21520957 26788653 26959651 31021623 38311083 44364753 56553823 64562871 80365959 80878953 93064869 114933249 169661469 193688613 241097877 242636859 344799747 408898183 508984407 581065839 723293631 727910577 1034399241 1226694549 1526953221 1743197517 2169880893 2183731731 3680083647 4580859663 5229592551 6551195193 9533783951 11040250941 13742578989 15688777653 19653585579 28601351853 33120752823 41227736967 85804055559 99362258469 181141895069 257412166677 298086775407 543425685207 772236500031 1630277055621 2316709500093 4890831166863 6950128500279 14672493500589 44017480501767 132052441505301