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101031222031 is a prime number
BaseRepresentation
bin101111000010111101…
…1100001101100001111
3100122210001001211221021
41132011323201230033
53123402443101111
6114225121415011
710204435134505
oct1360573415417
9318701054837
10101031222031
1139935544513
12176b719a467
1396b135bbac
144c65db8675
152964a36d71
hex1785ee1b0f

101031222031 has 2 divisors, whose sum is σ = 101031222032. Its totient is φ = 101031222030.

The previous prime is 101031222023. The next prime is 101031222073. The reversal of 101031222031 is 130222130101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101031222031 - 23 = 101031222023 is a prime.

It is a super-2 number, since 2×1010312220312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101031221996 and 101031222014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031222011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515611015 + 50515611016.

It is an arithmetic number, because the mean of its divisors is an integer number (50515611016).

Almost surely, 2101031222031 is an apocalyptic number.

101031222031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031222031 is an equidigital number, since it uses as much as digits as its factorization.

101031222031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101031222031 its reverse (130222130101), we get a palindrome (231253352132).

The spelling of 101031222031 in words is "one hundred one billion, thirty-one million, two hundred twenty-two thousand, thirty-one".