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144131002131 = 31716716922743
BaseRepresentation
bin1000011000111011100…
…0001000111100010011
3111210000201220112100010
42012032320020330103
54330140014032011
6150113551330003
713261462206204
oct2061670107423
9453021815303
10144131002131
1156142214196
1223b25220903
131078c69035c
146d941235ab
153b387221a6
hex218ee08f13

144131002131 has 16 divisors (see below), whose sum is σ = 204697511424. Its totient is φ = 89893605504.

The previous prime is 144131002121. The next prime is 144131002189. The reversal of 144131002131 is 131200131441.

It is not a de Polignac number, because 144131002131 - 210 = 144131001107 is a prime.

It is a super-3 number, since 3×1441310021313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 144131002098 and 144131002107.

It is not an unprimeable number, because it can be changed into a prime (144131002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8452855 + ... + 8469888.

It is an arithmetic number, because the mean of its divisors is an integer number (12793594464).

Almost surely, 2144131002131 is an apocalyptic number.

144131002131 is a deficient number, since it is larger than the sum of its proper divisors (60566509293).

144131002131 is a wasteful number, since it uses less digits than its factorization.

144131002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16922930.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 144131002131 its reverse (131200131441), we get a palindrome (275331133572).

The spelling of 144131002131 in words is "one hundred forty-four billion, one hundred thirty-one million, two thousand, one hundred thirty-one".

Divisors: 1 3 17 51 167 501 2839 8517 16922743 50768229 287686631 863059893 2826098081 8478294243 48043667377 144131002131