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1307123141 is a prime number
BaseRepresentation
bin100110111101001…
…0001110111000101
310101002120201212012
41031322101313011
510134110420031
6333412104005
744251235432
oct11572216705
93332521765
101307123141
11610922a65
12305905005
1317aa6025c
14c5856b89
1579b4ab2b
hex4de91dc5

1307123141 has 2 divisors, whose sum is σ = 1307123142. Its totient is φ = 1307123140.

The previous prime is 1307123137. The next prime is 1307123179. The reversal of 1307123141 is 1413217031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1301694241 + 5428900 = 36079^2 + 2330^2 .

It is a cyclic number.

It is not a de Polignac number, because 1307123141 - 22 = 1307123137 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1307120141) 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 as a sum of consecutive naturals, namely, 653561570 + 653561571.

It is an arithmetic number, because the mean of its divisors is an integer number (653561571).

Almost surely, 21307123141 is an apocalyptic number.

It is an amenable number.

1307123141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1307123141 is an equidigital number, since it uses as much as digits as its factorization.

1307123141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1307123141 is about 36154.1580043015. The cubic root of 1307123141 is about 1093.3826239325.

The spelling of 1307123141 in words is "one billion, three hundred seven million, one hundred twenty-three thousand, one hundred forty-one".