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4102115364131 is a prime number
BaseRepresentation
bin111011101100011001001…
…000010000110100100011
3112112011021110202200020112
4323230121020100310203
51014202113013123011
612420252532401535
7602240146166021
oct73543110206443
915464243680215
104102115364131
1113417741aa094
125630261762ab
13239a9b945315
141027872c9711
1571a8ac9458b
hex3bb19210d23

4102115364131 has 2 divisors, whose sum is σ = 4102115364132. Its totient is φ = 4102115364130.

The previous prime is 4102115364047. The next prime is 4102115364133. The reversal of 4102115364131 is 1314635112014.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4102115364131 is a prime.

It is a super-2 number, since 2×41021153641312 (a number of 26 digits) contains 22 as substring.

Together with 4102115364133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4102115364133) 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, 2051057682065 + 2051057682066.

It is an arithmetic number, because the mean of its divisors is an integer number (2051057682066).

Almost surely, 24102115364131 is an apocalyptic number.

4102115364131 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102115364131 is an equidigital number, since it uses as much as digits as its factorization.

4102115364131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 4102115364131 in words is "four trillion, one hundred two billion, one hundred fifteen million, three hundred sixty-four thousand, one hundred thirty-one".