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144133000133 is a prime number
BaseRepresentation
bin1000011000111011111…
…1110000101111000101
3111210000212200001002012
42012032333300233011
54330141022001013
6150114102224005
713261515200243
oct2061677605705
9453025601065
10144133000133
1156143359331
1223b25a25005
131078cc0c8c5
146d944c3793
153b389b91a8
hex218eff0bc5

144133000133 has 2 divisors, whose sum is σ = 144133000134. Its totient is φ = 144133000132.

The previous prime is 144133000091. The next prime is 144133000147. The reversal of 144133000133 is 331000331441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121771685764 + 22361314369 = 348958^2 + 149537^2 .

It is a cyclic number.

It is not a de Polignac number, because 144133000133 - 28 = 144132999877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144133000099 and 144133000108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144133008133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72066500066 + 72066500067.

It is an arithmetic number, because the mean of its divisors is an integer number (72066500067).

Almost surely, 2144133000133 is an apocalyptic number.

It is an amenable number.

144133000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

144133000133 is an equidigital number, since it uses as much as digits as its factorization.

144133000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 144133000133 its reverse (331000331441), we get a palindrome (475133331574).

The spelling of 144133000133 in words is "one hundred forty-four billion, one hundred thirty-three million, one hundred thirty-three", and thus it is an aban number.