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242431113001 = 71161199433599
BaseRepresentation
bin1110000111001000000…
…1010011011100101001
3212011202102220120002011
43201302001103130221
512432444331104001
6303212112035521
723341445313550
oct3416201233451
9764672816064
10242431113001
11938a6052440
123ab99832ba1
1319b26c61b2c
14ba3b4cad97
15648d5cad51
hex3872053729

242431113001 has 64 divisors (see below), whose sum is σ = 309980160000. Its totient is φ = 184141900800.

The previous prime is 242431112983. The next prime is 242431113077. The reversal of 242431113001 is 100311134242.

It is not a de Polignac number, because 242431113001 - 29 = 242431112489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242431114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404726100 + ... + 404726698.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440000).

Almost surely, 2242431113001 is an apocalyptic number.

It is an amenable number.

242431113001 is a deficient number, since it is larger than the sum of its proper divisors (67549046999).

242431113001 is a wasteful number, since it uses less digits than its factorization.

242431113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 242431113001 its reverse (100311134242), we get a palindrome (342742247243).

The spelling of 242431113001 in words is "two hundred forty-two billion, four hundred thirty-one million, one hundred thirteen thousand, one".

Divisors: 1 7 11 61 77 199 427 433 599 671 1393 2189 3031 4193 4697 4763 6589 12139 15323 26413 33341 36539 46123 84973 86167 119201 133529 184891 255773 259367 290543 401929 603169 834407 934703 947837 1311211 1815569 2033801 2813503 2853037 5256187 6634859 7271261 9178477 15821387 19971259 36793309 50898827 51614033 57818057 79983871 110749709 174035257 361298231 404726399 559887097 567754363 1218246799 3148456013 3974280541 22039192091 34633016143 242431113001