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396101141 is a prime number
BaseRepresentation
bin10111100111000…
…000011000010101
31000121100000121122
4113213000120111
51302400214031
6103145453325
712546542552
oct2747003025
91017300548
10396101141
11193652717
12b07a1245
13640a7a97
143a86ba29
1524b9347b
hex179c0615

396101141 has 2 divisors, whose sum is σ = 396101142. Its totient is φ = 396101140.

The previous prime is 396101089. The next prime is 396101177. The reversal of 396101141 is 141101693.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390220516 + 5880625 = 19754^2 + 2425^2 .

It is an emirp because it is prime and its reverse (141101693) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 396101141 - 26 = 396101077 is a prime.

It is a super-2 number, since 2×3961011412 = 313792227803003762, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 396101141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (396100141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 198050570 + 198050571.

It is an arithmetic number, because the mean of its divisors is an integer number (198050571).

Almost surely, 2396101141 is an apocalyptic number.

It is an amenable number.

396101141 is a deficient number, since it is larger than the sum of its proper divisors (1).

396101141 is an equidigital number, since it uses as much as digits as its factorization.

396101141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 396101141 is about 19902.2898431311. The cubic root of 396101141 is about 734.4045594765.

The spelling of 396101141 in words is "three hundred ninety-six million, one hundred one thousand, one hundred forty-one".