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242103455319 = 31129534773239
BaseRepresentation
bin1110000101111001111…
…1011000111001010111
3212010220121100211020110
43201132133120321113
512431311441032234
6303115405134103
723330356262415
oct3413637307127
9763817324213
10242103455319
11937480a8370
123ab07b5a333
1319aa40cc24b
14ba09b982b5
15646e9571e9
hex385e7d8e57

242103455319 has 32 divisors (see below), whose sum is σ = 371167142400. Its totient is φ = 138996690560.

The previous prime is 242103455317. The next prime is 242103455323. The reversal of 242103455319 is 913554301242.

It is a cyclic number.

It is not a de Polignac number, because 242103455319 - 21 = 242103455317 is a prime.

It is a super-2 number, since 2×2421034553192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242103455317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335899 + ... + 2437340.

It is an arithmetic number, because the mean of its divisors is an integer number (11598973200).

Almost surely, 2242103455319 is an apocalyptic number.

242103455319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

242103455319 is a deficient number, since it is larger than the sum of its proper divisors (129063687081).

242103455319 is a wasteful number, since it uses less digits than its factorization.

242103455319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773335.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 242103455319 in words is "two hundred forty-two billion, one hundred three million, four hundred fifty-five thousand, three hundred nineteen".

Divisors: 1 3 11 29 33 53 87 159 319 583 957 1537 1749 4611 16907 50721 4773239 14319717 52505629 138423931 157516887 252981667 415271793 758945001 1522663241 2782798337 4567989723 7336468343 8348395011 22009405029 80701151773 242103455319