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24137065129 is a prime number
BaseRepresentation
bin10110011110101011…
…100110001010101001
32022022011010221201011
4112132223212022221
5343413042041004
615031033023521
71513065445162
oct263653461251
968264127634
1024137065129
11a266820311
124817554ba1
132378819878
14124d918769
15964068004
hex59eae62a9

24137065129 has 2 divisors, whose sum is σ = 24137065130. Its totient is φ = 24137065128.

The previous prime is 24137064983. The next prime is 24137065153. The reversal of 24137065129 is 92156073142.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23689827225 + 447237904 = 153915^2 + 21148^2 .

It is a cyclic number.

It is not a de Polignac number, because 24137065129 - 217 = 24136934057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24137065091 and 24137065100.

It is not a weakly prime, because it can be changed into another prime (24137065229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12068532564 + 12068532565.

It is an arithmetic number, because the mean of its divisors is an integer number (12068532565).

Almost surely, 224137065129 is an apocalyptic number.

It is an amenable number.

24137065129 is a deficient number, since it is larger than the sum of its proper divisors (1).

24137065129 is an equidigital number, since it uses as much as digits as its factorization.

24137065129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 24137065129 in words is "twenty-four billion, one hundred thirty-seven million, sixty-five thousand, one hundred twenty-nine".