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242132203030302 = 232132370963454529
BaseRepresentation
bin110111000011011111001011…
…111100110100011100011110
31011202022121112112201200220200
4313003133023330310130132
5223214043222433432202
62214545555400324330
7102000321466163544
oct6703371374643436
91152277475650820
10242132203030302
1170172766267632
12231a6a14a736a6
13a514c79515250
1443b1392883d94
151ced633216e1c
hexdc37cbf3471e

242132203030302 has 96 divisors (see below), whose sum is σ = 590370794395200. Its totient is φ = 71162476425216.

The previous prime is 242132203030261. The next prime is 242132203030307. The reversal of 242132203030302 is 203030302231242.

242132203030302 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 32 + 20 + 303 + 0 + 302 = 666.

It is a super-2 number, since 2×2421322030303022 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242132203030307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27911427 + ... + 35543102.

It is an arithmetic number, because the mean of its divisors is an integer number (6149695774950).

Almost surely, 2242132203030302 is an apocalyptic number.

242132203030302 is an abundant number, since it is smaller than the sum of its proper divisors (348238591364898).

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

242132203030302 is a wasteful number, since it uses less digits than its factorization.

242132203030302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63455282 (or 63455279 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 242132203030302 its reverse (203030302231242), we get a palindrome (445162505261544).

The spelling of 242132203030302 in words is "two hundred forty-two trillion, one hundred thirty-two billion, two hundred three million, thirty thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 709 897 1418 1794 2127 2691 4254 5382 6381 9217 12762 16307 18434 27651 32614 48921 55302 82953 97842 146763 165906 211991 293526 423982 635973 1271946 1907919 3815838 63454529 126909058 190363587 380727174 571090761 824908877 1142181522 1459454167 1649817754 2474726631 2918908334 4378362501 4949453262 7424179893 8756725002 13135087503 14848359786 18972904171 26270175006 37945808342 44989261061 56918712513 89978522122 113837425026 134967783183 170756137539 269935566366 341512275078 404903349549 584860393793 809806699098 1034753004403 1169720787586 1754581181379 2069506008806 3104259013209 3509162362758 5263743544137 6208518026418 9312777039627 10527487088274 13451789057239 18625554079254 26903578114478 40355367171717 80710734343434 121066101515151 242132203030302