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106712846921 is a prime number
BaseRepresentation
bin110001101100010010…
…1001101001001001001
3101012110000001022001202
41203120211031021021
53222021442100141
6121005002353545
710465305142532
oct1433045151111
9335400038052
10106712846921
114129069037a
1218821abb8b5
13a0a8495205
1452447cd689
152b9873149b
hex18d894d249

106712846921 has 2 divisors, whose sum is σ = 106712846922. Its totient is φ = 106712846920.

The previous prime is 106712846917. The next prime is 106712846959. The reversal of 106712846921 is 129648217601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102515232400 + 4197614521 = 320180^2 + 64789^2 .

It is a cyclic number.

It is not a de Polignac number, because 106712846921 - 22 = 106712846917 is a prime.

It is a super-2 number, since 2×1067128469212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106712546921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53356423460 + 53356423461.

It is an arithmetic number, because the mean of its divisors is an integer number (53356423461).

Almost surely, 2106712846921 is an apocalyptic number.

It is an amenable number.

106712846921 is a deficient number, since it is larger than the sum of its proper divisors (1).

106712846921 is an equidigital number, since it uses as much as digits as its factorization.

106712846921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 106712846921 in words is "one hundred six billion, seven hundred twelve million, eight hundred forty-six thousand, nine hundred twenty-one".