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106151559167 is a prime number
BaseRepresentation
bin110001011011100100…
…0000011111111111111
3101010222212212221000102
41202313020003333333
53214344244343132
6120433152151315
710445351236223
oct1426710037777
9333885787012
10106151559167
11410228735a5
12186a5b3853b
13a019101c94
1451d0042783
152b6430dc62
hex18b7203fff

106151559167 has 2 divisors, whose sum is σ = 106151559168. Its totient is φ = 106151559166.

The previous prime is 106151559149. The next prime is 106151559169. The reversal of 106151559167 is 761955151601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106151559167 - 212 = 106151555071 is a prime.

It is a super-2 number, since 2×1061515591672 (a number of 23 digits) contains 22 as substring.

Together with 106151559169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106151559169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53075779583 + 53075779584.

It is an arithmetic number, because the mean of its divisors is an integer number (53075779584).

Almost surely, 2106151559167 is an apocalyptic number.

106151559167 is a deficient number, since it is larger than the sum of its proper divisors (1).

106151559167 is an equidigital number, since it uses as much as digits as its factorization.

106151559167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 283500, while the sum is 47.

The spelling of 106151559167 in words is "one hundred six billion, one hundred fifty-one million, five hundred fifty-nine thousand, one hundred sixty-seven".