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242023103199975 = 35229669116630547
BaseRepresentation
bin110111000001111001100101…
…000101111111101011100111
31011201221011221012011002012010
4313001321211011333223213
5223210301303404344400
62214423513444325303
7101656410055006506
oct6701714505775347
91151834835132163
10242023103199975
11701304702552a9
12231898476a3833
13a5078b0671026
1443a9da306283d
151cea89a181450
hexdc1e6517fae7

242023103199975 has 48 divisors (see below), whose sum is σ = 414004853243520. Its totient is φ = 124609355068800.

The previous prime is 242023103199971. The next prime is 242023103200009. The reversal of 242023103199975 is 579991301320242.

It is a happy number.

It is not a de Polignac number, because 242023103199975 - 22 = 242023103199971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242023103199971) 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, 6237652 + ... + 22868198.

It is an arithmetic number, because the mean of its divisors is an integer number (8625101109240).

Almost surely, 2242023103199975 is an apocalyptic number.

242023103199975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242023103199975 is a deficient number, since it is larger than the sum of its proper divisors (171981750043545).

242023103199975 is a wasteful number, since it uses less digits than its factorization.

242023103199975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16637280 (or 16637275 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 242023103199975 in words is "two hundred forty-two trillion, twenty-three billion, one hundred three million, one hundred ninety-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 25 29 75 87 145 435 725 2175 6691 20073 33455 100365 167275 194039 501825 582117 970195 2910585 4850975 14552925 16630547 49891641 83152735 249458205 415763675 482285863 1247291025 1446857589 2411429315 7234287945 12057146575 36171439725 111274989977 333824969931 556374949885 1669124849655 2781874749425 3226974709333 8345624248275 9680924127999 16134873546665 48404620639995 80674367733325 242023103199975