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106246771249 is a prime number
BaseRepresentation
bin110001011110011001…
…1010001001000110001
3101011020112001012102211
41202330303101020301
53220043133134444
6120450433012121
710450615440403
oct1427463211061
9334215035384
10106246771249
1141071594873
12187119b4041
13a032a5a3a8
1451dc948b73
152b6c869c34
hex18bccd1231

106246771249 has 2 divisors, whose sum is σ = 106246771250. Its totient is φ = 106246771248.

The previous prime is 106246771171. The next prime is 106246771261. The reversal of 106246771249 is 942177642601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88487211024 + 17759560225 = 297468^2 + 133265^2 .

It is a cyclic number.

It is not a de Polignac number, because 106246771249 - 29 = 106246770737 is a prime.

It is a super-2 number, since 2×1062467712492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106216771249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53123385624 + 53123385625.

It is an arithmetic number, because the mean of its divisors is an integer number (53123385625).

Almost surely, 2106246771249 is an apocalyptic number.

It is an amenable number.

106246771249 is a deficient number, since it is larger than the sum of its proper divisors (1).

106246771249 is an equidigital number, since it uses as much as digits as its factorization.

106246771249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 106246771249 in words is "one hundred six billion, two hundred forty-six million, seven hundred seventy-one thousand, two hundred forty-nine".