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101211031 is a prime number
BaseRepresentation
bin1100000100001…
…01101110010111
321001110001102201
412002011232113
5201402223111
614013145331
72336164615
oct602055627
9231401381
10101211031
1152149389
1229a8b247
1317c78aac
14d6286b5
158d436c1
hex6085b97

101211031 has 2 divisors, whose sum is σ = 101211032. Its totient is φ = 101211030.

The previous prime is 101211029. The next prime is 101211041. The reversal of 101211031 is 130112101.

It is an a-pointer prime, because the next prime (101211041) can be obtained adding 101211031 to its sum of digits (10).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101211031 - 21 = 101211029 is a prime.

It is a super-2 number, since 2×1012110312 = 20487345592165922, which contains 22 as substring.

Together with 101211029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101210999 and 101211017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605515 + 50605516.

It is an arithmetic number, because the mean of its divisors is an integer number (50605516).

Almost surely, 2101211031 is an apocalyptic number.

101211031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211031 is an equidigital number, since it uses as much as digits as its factorization.

101211031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101211031 is about 10060.3693272166. The cubic root of 101211031 is about 466.0250727912.

Adding to 101211031 its reverse (130112101), we get a palindrome (231323132).

The spelling of 101211031 in words is "one hundred one million, two hundred eleven thousand, thirty-one".