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101070114337 is a prime number
BaseRepresentation
bin101111000100000111…
…1111000111000100001
3100122212202020210011001
41132020033320320201
53123442422124322
6114233031152001
710205416540243
oct1361017707041
9318782223131
10101070114337
1139955498915
1217708215601
1396b94284aa
144c6b220093
15296816a827
hex17883f8e21

101070114337 has 2 divisors, whose sum is σ = 101070114338. Its totient is φ = 101070114336.

The previous prime is 101070114329. The next prime is 101070114347. The reversal of 101070114337 is 733411070101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92126818576 + 8943295761 = 303524^2 + 94569^2 .

It is a cyclic number.

It is not a de Polignac number, because 101070114337 - 23 = 101070114329 is a prime.

It is a super-3 number, since 3×1010701143373 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101070114347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50535057168 + 50535057169.

It is an arithmetic number, because the mean of its divisors is an integer number (50535057169).

Almost surely, 2101070114337 is an apocalyptic number.

It is an amenable number.

101070114337 is a deficient number, since it is larger than the sum of its proper divisors (1).

101070114337 is an equidigital number, since it uses as much as digits as its factorization.

101070114337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 101070114337 its reverse (733411070101), we get a palindrome (834481184438).

The spelling of 101070114337 in words is "one hundred one billion, seventy million, one hundred fourteen thousand, three hundred thirty-seven".