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242014003341131 = 7291517895279527
BaseRepresentation
bin110111000001110001000110…
…101100110010011101001011
31011201220022110000011100121002
4313001301012230302131023
5223210124134323404011
62214415410455005215
7101655635420332010
oct6701610654623513
91151808400140532
10242014003341131
11701276206596aa
1223187b2806980b
13a506a902c9578
1443a977c695707
151cea51632bc3b
hexdc1c46b3274b

242014003341131 has 16 divisors (see below), whose sum is σ = 288019797181440. Its totient is φ = 198961044055200.

The previous prime is 242014003341107. The next prime is 242014003341167. The reversal of 242014003341131 is 131143300410242.

242014003341131 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 242014003341131 - 230 = 242012929599307 is a prime.

It is a super-2 number, since 2×2420140033411312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242014003341094 and 242014003341103.

It is not an unprimeable number, because it can be changed into a prime (242014003341101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3947609111 + ... + 3947670416.

It is an arithmetic number, because the mean of its divisors is an integer number (18001237323840).

Almost surely, 2242014003341131 is an apocalyptic number.

242014003341131 is a deficient number, since it is larger than the sum of its proper divisors (46005793840309).

242014003341131 is a wasteful number, since it uses less digits than its factorization.

242014003341131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7895279714.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 242014003341131 its reverse (131143300410242), we get a palindrome (373157303751373).

The spelling of 242014003341131 in words is "two hundred forty-two trillion, fourteen billion, three million, three hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 7 29 151 203 1057 4379 30653 7895279527 55266956689 228963106283 1192187208577 1602741743981 8345310460039 34573429048733 242014003341131