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132043414011201 = 32731123169067291
BaseRepresentation
bin11110000001011111000000…
…110010010111110101000001
3122022112020010112222102011200
4132001133000302113311001
5114301344402441324301
61144455523523531413
736545551615212000
oct3601370062276501
9568466115872150
10132043414011201
113908932a932210
1212986a94229b69
13588a84328c184
142486d147d2c37
15103eb43b31c86
hex7817c0c97d41

132043414011201 has 96 divisors (see below), whose sum is σ = 253195176499200. Its totient is φ = 65611633903200.

The previous prime is 132043414011199. The next prime is 132043414011203. The reversal of 132043414011201 is 102110414340231.

It is a happy number.

132043414011201 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 43 + 414 + 0 + 1 + 1 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (132043414011199) and next prime (132043414011203).

It is not a de Polignac number, because 132043414011201 - 21 = 132043414011199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132043414011203) 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, 83752635 + ... + 85314656.

It is an arithmetic number, because the mean of its divisors is an integer number (2637449755200).

Almost surely, 2132043414011201 is an apocalyptic number.

132043414011201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132043414011201 is a deficient number, since it is larger than the sum of its proper divisors (121151762487999).

132043414011201 is a wasteful number, since it uses less digits than its factorization.

132043414011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169067352 (or 169067335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132043414011201 its reverse (102110414340231), we get a palindrome (234153828351432).

The spelling of 132043414011201 in words is "one hundred thirty-two trillion, forty-three billion, four hundred fourteen million, eleven thousand, two hundred one".

Divisors: 1 3 7 9 11 21 23 33 49 63 69 77 99 147 161 207 231 253 343 441 483 539 693 759 1029 1127 1449 1617 1771 2277 3087 3381 3773 4851 5313 7889 10143 11319 12397 15939 23667 33957 37191 71001 86779 111573 260337 781011 169067291 507201873 1183471037 1521605619 1859740201 3550413111 3888547693 5579220603 8284297259 10651239333 11665643079 13018181407 16737661809 24852891777 27219833851 34996929237 39054544221 42774024623 57990080813 74558675331 81659501553 91127269849 117163632663 128322073869 173970242439 190538836957 244978504659 273381809547 299418172361 384966221607 521910727317 571616510871 637890888943 820145428641 898254517083 1333771858699 1714849532613 1913672666829 2095927206527 2694763551249 4001315576097 5741018000487 6287781619581 12003946728291 14671490445689 18863344858743 44014471337067 132043414011201