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106211656409 is a prime number
BaseRepresentation
bin110001011101010110…
…1010100001011011001
3101011011001222011221012
41202322231110023121
53220010141001114
6120443140223305
710450011116645
oct1427255241331
9334131864835
10106211656409
1141053790541
121870209ab35
13a0286b4291
1451d8007c25
152b6973063e
hex18bab542d9

106211656409 has 2 divisors, whose sum is σ = 106211656410. Its totient is φ = 106211656408.

The previous prime is 106211656391. The next prime is 106211656519. The reversal of 106211656409 is 904656112601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82223842009 + 23987814400 = 286747^2 + 154880^2 .

It is an emirp because it is prime and its reverse (904656112601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106211656409 - 228 = 105943220953 is a prime.

It is a super-2 number, since 2×1062116564092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106211656609) 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, 53105828204 + 53105828205.

It is an arithmetic number, because the mean of its divisors is an integer number (53105828205).

Almost surely, 2106211656409 is an apocalyptic number.

It is an amenable number.

106211656409 is a deficient number, since it is larger than the sum of its proper divisors (1).

106211656409 is an equidigital number, since it uses as much as digits as its factorization.

106211656409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 106211656409 in words is "one hundred six billion, two hundred eleven million, six hundred fifty-six thousand, four hundred nine".