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242105500005 = 35831038812143
BaseRepresentation
bin1110000101111010011…
…1001100000101100101
3212010220202012201000120
43201132213030011211
512431313002000010
6303115521032153
723330412536535
oct3413647140545
9763822181016
10242105500005
1193749274596
123ab08785659
1319aa4666b15
14ba0a16b4c5
15646ec0ce70
hex385e9cc165

242105500005 has 64 divisors (see below), whose sum is σ = 396476301312. Its totient is φ = 126126443520.

The previous prime is 242105499991. The next prime is 242105500061. The reversal of 242105500005 is 500005501242.

It is a happy number.

242105500005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242105500005 - 24 = 242105499989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112973964 + ... + 112976106.

It is an arithmetic number, because the mean of its divisors is an integer number (6194942208).

Almost surely, 2242105500005 is an apocalyptic number.

It is an amenable number.

242105500005 is a deficient number, since it is larger than the sum of its proper divisors (154370801307).

242105500005 is a wasteful number, since it uses less digits than its factorization.

242105500005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218.

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 242105500005 in words is "two hundred forty-two billion, one hundred five million, five hundred thousand, five".

Divisors: 1 3 5 15 83 103 249 309 415 515 881 1245 1545 2143 2643 4405 6429 8549 10715 13215 25647 32145 42745 73123 90743 128235 177869 219369 220729 272229 365615 453715 533607 662187 889345 1096845 1103645 1361145 1887983 2668035 3310935 5663949 7531669 9439915 18320507 22595007 28319745 37658345 54961521 91602535 112975035 156702589 194462249 274807605 470107767 583386747 783512945 972311245 2350538835 2916933735 16140366667 48421100001 80701833335 242105500005