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101000001031 is a prime number
BaseRepresentation
bin101111000010000010…
…0011011011000000111
3100122200212022122202221
41132010010123120013
53123322000013111
6114222044313211
710203605562256
oct1360404333007
9318625278687
10101000001031
113991995a736
12176a8842807
1396a7a4a227
144c61bac79d
152961e1b371
hex178411b607

101000001031 has 2 divisors, whose sum is σ = 101000001032. Its totient is φ = 101000001030.

The previous prime is 101000000971. The next prime is 101000001043. The reversal of 101000001031 is 130100000101.

Adding to 101000001031 its reverse (130100000101), we get a palindrome (231100001132).

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (130100000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000001031 - 217 = 100999869959 is a prime.

It is a super-2 number, since 2×1010000010312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000001931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000515 + 50500000516.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000516).

Almost surely, 2101000001031 is an apocalyptic number.

101000001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001031 is an equidigital number, since it uses as much as digits as its factorization.

101000001031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

The spelling of 101000001031 in words is "one hundred one billion, one thousand, thirty-one".