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106081136141 is a prime number
BaseRepresentation
bin110001011001011101…
…1011010111000001101
3101010210222101001210012
41202302323122320031
53214223232324031
6120422154523005
710443534531251
oct1426273327015
9333728331705
10106081136141
1140a97043752
1218686436465
13a007645a56
1451c4950261
152b5d04cb2b
hex18b2edae0d

106081136141 has 2 divisors, whose sum is σ = 106081136142. Its totient is φ = 106081136140.

The previous prime is 106081136137. The next prime is 106081136143. The reversal of 106081136141 is 141631180601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71795058916 + 34286077225 = 267946^2 + 185165^2 .

It is an emirp because it is prime and its reverse (141631180601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106081136141 - 22 = 106081136137 is a prime.

It is a super-2 number, since 2×1060811361412 (a number of 23 digits) contains 22 as substring.

Together with 106081136143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106081136098 and 106081136107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106081136143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53040568070 + 53040568071.

It is an arithmetic number, because the mean of its divisors is an integer number (53040568071).

Almost surely, 2106081136141 is an apocalyptic number.

It is an amenable number.

106081136141 is a deficient number, since it is larger than the sum of its proper divisors (1).

106081136141 is an equidigital number, since it uses as much as digits as its factorization.

106081136141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 106081136141 in words is "one hundred six billion, eighty-one million, one hundred thirty-six thousand, one hundred forty-one".