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101111330431 is a prime number
BaseRepresentation
bin101111000101010110…
…1000111011001111111
3100122222121210210000001
41132022231013121333
53124034000033211
6114241102415131
710206430061626
oct1361255073177
9318877723001
10101111330431
113997678a101
1217719b914a7
1396c4b29707
144c728ac6bd
15296baacac1
hex178ab4767f

101111330431 has 2 divisors, whose sum is σ = 101111330432. Its totient is φ = 101111330430.

The previous prime is 101111330413. The next prime is 101111330459. The reversal of 101111330431 is 134033111101.

It is a happy number.

Together with previous prime (101111330413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101111330431 - 29 = 101111329919 is a prime.

It is a super-2 number, since 2×1011113304312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111330399 and 101111330408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111330471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555665215 + 50555665216.

It is an arithmetic number, because the mean of its divisors is an integer number (50555665216).

Almost surely, 2101111330431 is an apocalyptic number.

101111330431 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111330431 is an equidigital number, since it uses as much as digits as its factorization.

101111330431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101111330431 its reverse (134033111101), we get a palindrome (235144441532).

The spelling of 101111330431 in words is "one hundred one billion, one hundred eleven million, three hundred thirty thousand, four hundred thirty-one".