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100105166611 is a prime number
BaseRepresentation
bin101110100111010111…
…0111001111100010011
3100120101111112100201101
41131032232321330103
53120003410312421
6113553201045231
710142461606462
oct1351656717423
9316344470641
10100105166611
11394aa83635a
1217499026817
139594541ac8
144bb8dd89d9
15290d5b0191
hex174ebb9f13

100105166611 has 2 divisors, whose sum is σ = 100105166612. Its totient is φ = 100105166610.

The previous prime is 100105166549. The next prime is 100105166641. The reversal of 100105166611 is 116661501001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100105166611 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100105166611.

It is not a weakly prime, because it can be changed into another prime (100105166641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052583305 + 50052583306.

It is an arithmetic number, because the mean of its divisors is an integer number (50052583306).

Almost surely, 2100105166611 is an apocalyptic number.

100105166611 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105166611 is an equidigital number, since it uses as much as digits as its factorization.

100105166611 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 100105166611 its reverse (116661501001), we get a palindrome (216766667612).

The spelling of 100105166611 in words is "one hundred billion, one hundred five million, one hundred sixty-six thousand, six hundred eleven".