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101906681 is a prime number
BaseRepresentation
bin1100001001011…
…11100011111001
321002202101200112
412010233203321
5202042003211
614040114105
72345123012
oct604574371
9232671615
10101906681
1152583aa8
122a165935
1318160616
14d76a009
158e2e88b
hex612f8f9

101906681 has 2 divisors, whose sum is σ = 101906682. Its totient is φ = 101906680.

The previous prime is 101906611. The next prime is 101906683. The reversal of 101906681 is 186609101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101828281 + 78400 = 10091^2 + 280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101906681 is a prime.

It is a super-2 number, since 2×1019066812 = 20769943264871522, which contains 22 as substring.

Together with 101906683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101906683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50953340 + 50953341.

It is an arithmetic number, because the mean of its divisors is an integer number (50953341).

Almost surely, 2101906681 is an apocalyptic number.

It is an amenable number.

101906681 is a deficient number, since it is larger than the sum of its proper divisors (1).

101906681 is an equidigital number, since it uses as much as digits as its factorization.

101906681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 101906681 is about 10094.8839022546. The cubic root of 101906681 is about 467.0903401291.

The spelling of 101906681 in words is "one hundred one million, nine hundred six thousand, six hundred eighty-one".