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144123122009 is a prime number
BaseRepresentation
bin1000011000111001101…
…0000101000101011001
3111210000012002011211202
42012032122011011121
54330131004401014
6150113110403545
713261335216116
oct2061632050531
9453005064752
10144123122009
1156138821799
1223b226605b5
131078ab61669
146d9307190d
153b37bb73de
hex218e685159

144123122009 has 2 divisors, whose sum is σ = 144123122010. Its totient is φ = 144123122008.

The previous prime is 144123121999. The next prime is 144123122057. The reversal of 144123122009 is 900221321441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142325107600 + 1798014409 = 377260^2 + 42403^2 .

It is a cyclic number.

It is not a de Polignac number, because 144123122009 - 212 = 144123117913 is a prime.

It is a super-2 number, since 2×1441231220092 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (144123122609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72061561004 + 72061561005.

It is an arithmetic number, because the mean of its divisors is an integer number (72061561005).

Almost surely, 2144123122009 is an apocalyptic number.

It is an amenable number.

144123122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

144123122009 is an equidigital number, since it uses as much as digits as its factorization.

144123122009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 144123122009 in words is "one hundred forty-four billion, one hundred twenty-three million, one hundred twenty-two thousand, nine".