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4100106931 is a prime number
BaseRepresentation
bin1111010001100010…
…1010101010110011
3101120202002000100021
43310120222222303
531344111410211
61514503304311
7203414222344
oct36430525263
911522060307
104100106931
111814449028
1296514b097
135045a1a9b
142ac7720cb
1518ee4b771
hexf462aab3

4100106931 has 2 divisors, whose sum is σ = 4100106932. Its totient is φ = 4100106930.

The previous prime is 4100106917. The next prime is 4100106943. The reversal of 4100106931 is 1396010014.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4100106931 - 225 = 4066552499 is a prime.

It is a super-2 number, since 2×41001069312 = 33621753691268477522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100106896 and 4100106905.

It is not a weakly prime, because it can be changed into another prime (4100101931) 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, 2050053465 + 2050053466.

It is an arithmetic number, because the mean of its divisors is an integer number (2050053466).

Almost surely, 24100106931 is an apocalyptic number.

4100106931 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100106931 is an equidigital number, since it uses as much as digits as its factorization.

4100106931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 4100106931 is about 64032.0773597109. The cubic root of 4100106931 is about 1600.5345780122.

Adding to 4100106931 its reverse (1396010014), we get a palindrome (5496116945).

The spelling of 4100106931 in words is "four billion, one hundred million, one hundred six thousand, nine hundred thirty-one".