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242075131199 = 113317573737
BaseRepresentation
bin1110000101110011001…
…1010101110100111111
3212010211122001210211222
43201130303111310333
512431232213144244
6303112514103555
723326563443666
oct3413463256477
9763748053758
10242075131199
1193733112000
123aaba57abbb
1319a9b293005
14ba06103ddd
15646c20ebee
hex385ccd5d3f

242075131199 has 16 divisors (see below), whose sum is σ = 267104873376. Its totient is φ = 219373696960.

The previous prime is 242075131187. The next prime is 242075131211. The reversal of 242075131199 is 991131570242.

It is an interprime number because it is at equal distance from previous prime (242075131187) and next prime (242075131211).

It is not a de Polignac number, because 242075131199 - 224 = 242058353983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242075131099) 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 15 ways as a sum of consecutive naturals, for example, 135059 + ... + 708795.

It is an arithmetic number, because the mean of its divisors is an integer number (16694054586).

Almost surely, 2242075131199 is an apocalyptic number.

242075131199 is a deficient number, since it is larger than the sum of its proper divisors (25029742177).

242075131199 is an equidigital number, since it uses as much as digits as its factorization.

242075131199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574087 (or 574065 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 242075131199 in words is "two hundred forty-two billion, seventy-five million, one hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 11 121 317 1331 3487 38357 421927 573737 6311107 69422177 181874629 763643947 2000620919 22006830109 242075131199