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106307022929 is a prime number
BaseRepresentation
bin110001100000001100…
…1000111000001010001
3101011101201102022012112
41203000121013001101
53220204044213204
6120500424235105
710452246533312
oct1430031070121
9334351368175
10106307022929
11410a25a7848
121872a00ba95
13a042394a83
145206950609
152b72cbc26e
hex18c0647051

106307022929 has 2 divisors, whose sum is σ = 106307022930. Its totient is φ = 106307022928.

The previous prime is 106307022907. The next prime is 106307022937. The reversal of 106307022929 is 929220703601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95892412225 + 10414610704 = 309665^2 + 102052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106307022929 is a prime.

It is a super-2 number, since 2×1063070229292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106300022929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53153511464 + 53153511465.

It is an arithmetic number, because the mean of its divisors is an integer number (53153511465).

Almost surely, 2106307022929 is an apocalyptic number.

It is an amenable number.

106307022929 is a deficient number, since it is larger than the sum of its proper divisors (1).

106307022929 is an equidigital number, since it uses as much as digits as its factorization.

106307022929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 106307022929 in words is "one hundred six billion, three hundred seven million, twenty-two thousand, nine hundred twenty-nine".