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106253462041 is a prime number
BaseRepresentation
bin110001011110100110…
…0110010101000011001
3101011020222122010110221
41202331030302220121
53220101341241131
6120451232240041
710451026345156
oct1427514625031
9334228563427
10106253462041
1141075344751
12187140a0021
13a03426093c
1451dd7ab22d
152b6d23c411
hex18bd332a19

106253462041 has 2 divisors, whose sum is σ = 106253462042. Its totient is φ = 106253462040.

The previous prime is 106253462039. The next prime is 106253462047. The reversal of 106253462041 is 140264352601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86933574025 + 19319888016 = 294845^2 + 138996^2 .

It is a cyclic number.

It is not a de Polignac number, because 106253462041 - 21 = 106253462039 is a prime.

It is a super-2 number, since 2×1062534620412 (a number of 23 digits) contains 22 as substring.

Together with 106253462039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 106253461988 and 106253462006.

It is not a weakly prime, because it can be changed into another prime (106253462047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53126731020 + 53126731021.

It is an arithmetic number, because the mean of its divisors is an integer number (53126731021).

Almost surely, 2106253462041 is an apocalyptic number.

It is an amenable number.

106253462041 is a deficient number, since it is larger than the sum of its proper divisors (1).

106253462041 is an equidigital number, since it uses as much as digits as its factorization.

106253462041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 106253462041 in words is "one hundred six billion, two hundred fifty-three million, four hundred sixty-two thousand, forty-one".