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101031030031 is a prime number
BaseRepresentation
bin101111000010111101…
…0110010110100001111
3100122210000201002120011
41132011322302310033
53123402420430111
6114225113334051
710204433404651
oct1360572626417
9318700632504
10101031030031
1139935423238
12176b7107327
1396b12c2699
144c65d686d1
1529649ea021
hex1785eb2d0f

101031030031 has 2 divisors, whose sum is σ = 101031030032. Its totient is φ = 101031030030.

The previous prime is 101031030011. The next prime is 101031030053. The reversal of 101031030031 is 130030130101.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (130030130101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101031030031 - 217 = 101030898959 is a prime.

It is a super-2 number, since 2×1010310300312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101031029993 and 101031030020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031030011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515515015 + 50515515016.

It is an arithmetic number, because the mean of its divisors is an integer number (50515515016).

Almost surely, 2101031030031 is an apocalyptic number.

101031030031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031030031 is an equidigital number, since it uses as much as digits as its factorization.

101031030031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101031030031 its reverse (130030130101), we get a palindrome (231061160132).

The spelling of 101031030031 in words is "one hundred one billion, thirty-one million, thirty thousand, thirty-one".