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132265333315401 = 311132338219350737
BaseRepresentation
bin11110000100101101101100…
…001101010101011101001001
3122100022102221111022010022120
4132010231230031111131021
5114314013400312043101
61145145504424441453
736600566155162656
oct3604555415253511
9570272844263276
10132265333315401
113916445a563050
1212a01aa8619289
1358a574b7b8320
142493967a4ac2d
1510457d1594b36
hex784b6c355749

132265333315401 has 64 divisors (see below), whose sum is σ = 216199168174080. Its totient is φ = 70775382205440.

The previous prime is 132265333315387. The next prime is 132265333315411. The reversal of 132265333315401 is 104513333562231.

It is not a de Polignac number, because 132265333315401 - 26 = 132265333315337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132265333315411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376931505 + ... + 377282241.

It is an arithmetic number, because the mean of its divisors is an integer number (3378112002720).

Almost surely, 2132265333315401 is an apocalyptic number.

132265333315401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132265333315401 is a deficient number, since it is larger than the sum of its proper divisors (83933834858679).

132265333315401 is a wasteful number, since it uses less digits than its factorization.

132265333315401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389006.

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 132265333315401 its reverse (104513333562231), we get a palindrome (236778666877632).

The spelling of 132265333315401 in words is "one hundred thirty-two trillion, two hundred sixty-five billion, three hundred thirty-three million, three hundred fifteen thousand, four hundred one".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 429 759 897 3289 9867 38219 114657 350737 420409 496847 879037 1052211 1261227 1490541 2637111 3858107 4559581 5465317 8066951 9669407 11427481 11574321 13678743 16395951 24200853 29008221 34282443 50155391 88736461 104870363 125702291 150466173 266209383 314611089 377106873 1153573993 3460721979 13404817403 40214452209 147452991433 174262626239 308310800269 442358974299 522787878717 924932400807 1916888888629 3391418802959 4008040403497 5750666665887 10174256408877 12024121210491 44088444438467 132265333315401