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106865885311 is a prime number
BaseRepresentation
bin110001110000110110…
…1000000000001111111
3101012211200000110021021
41203201231000001333
53222330131312221
6121032110445011
710502144015563
oct1434155000177
9335750013237
10106865885311
114135a008389
1218865203767
13a1010b9083
14525ac696a3
152ba6db1041
hex18e1b4007f

106865885311 has 2 divisors, whose sum is σ = 106865885312. Its totient is φ = 106865885310.

The previous prime is 106865885279. The next prime is 106865885317. The reversal of 106865885311 is 113588568601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106865885311 - 25 = 106865885279 is a prime.

It is a super-3 number, since 3×1068658853113 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106865885317) 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, 53432942655 + 53432942656.

It is an arithmetic number, because the mean of its divisors is an integer number (53432942656).

Almost surely, 2106865885311 is an apocalyptic number.

106865885311 is a deficient number, since it is larger than the sum of its proper divisors (1).

106865885311 is an equidigital number, since it uses as much as digits as its factorization.

106865885311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 52.

The spelling of 106865885311 in words is "one hundred six billion, eight hundred sixty-five million, eight hundred eighty-five thousand, three hundred eleven".