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106211220517 is a prime number
BaseRepresentation
bin110001011101010101…
…1101001110000100101
3101011011001011001000001
41202322223221300211
53220010033024032
6120443123021301
710450004323063
oct1427253516045
9334131131001
10106211220517
1141053512aa6
1218701b0a831
13a028590a5c
1451d7d33033
152b696963e7
hex18baae9c25

106211220517 has 2 divisors, whose sum is σ = 106211220518. Its totient is φ = 106211220516.

The previous prime is 106211220509. The next prime is 106211220539. The reversal of 106211220517 is 715022112601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58471592481 + 47739628036 = 241809^2 + 218494^2 .

It is a cyclic number.

It is not a de Polignac number, because 106211220517 - 23 = 106211220509 is a prime.

It is a super-2 number, since 2×1062112205172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106211220547) 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, 53105610258 + 53105610259.

It is an arithmetic number, because the mean of its divisors is an integer number (53105610259).

Almost surely, 2106211220517 is an apocalyptic number.

It is an amenable number.

106211220517 is a deficient number, since it is larger than the sum of its proper divisors (1).

106211220517 is an equidigital number, since it uses as much as digits as its factorization.

106211220517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 106211220517 in words is "one hundred six billion, two hundred eleven million, two hundred twenty thousand, five hundred seventeen".