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137003071 is a prime number
BaseRepresentation
bin10000010101010…
…00000000111111
3100112210110212211
420022220000333
5240033044241
621332241251
73252335602
oct1012500077
9315713784
10137003071
1170375487
1239a70227
13224cb20a
14142a4339
15c063781
hex82a803f

137003071 has 2 divisors, whose sum is σ = 137003072. Its totient is φ = 137003070.

The previous prime is 137003057. The next prime is 137003107. The reversal of 137003071 is 170300731.

Together with next prime (137003107) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137003071 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137003771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68501535 + 68501536.

It is an arithmetic number, because the mean of its divisors is an integer number (68501536).

Almost surely, 2137003071 is an apocalyptic number.

137003071 is a deficient number, since it is larger than the sum of its proper divisors (1).

137003071 is an equidigital number, since it uses as much as digits as its factorization.

137003071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 22.

The square root of 137003071 is about 11704.8310966028. The cubic root of 137003071 is about 515.5175254470.

The spelling of 137003071 in words is "one hundred thirty-seven million, three thousand, seventy-one".