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101032332029 is a prime number
BaseRepresentation
bin101111000010111111…
…1110000101011111101
3100122210010011020120022
41132011333300223331
53123403234111104
6114225201301525
710204450436606
oct1360577605375
9318703136508
10101032332029
1139936132472
12176b76348a5
1396b165a1b5
144c661c6dad
152964ba5bbe
hex1785ff0afd

101032332029 has 2 divisors, whose sum is σ = 101032332030. Its totient is φ = 101032332028.

The previous prime is 101032331989. The next prime is 101032332043. The reversal of 101032332029 is 920233230101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90195105625 + 10837226404 = 300325^2 + 104102^2 .

It is an emirp because it is prime and its reverse (920233230101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101032332029 - 228 = 100763896573 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101032331989 and 101032332007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101032332329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516166014 + 50516166015.

It is an arithmetic number, because the mean of its divisors is an integer number (50516166015).

Almost surely, 2101032332029 is an apocalyptic number.

It is an amenable number.

101032332029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101032332029 is an equidigital number, since it uses as much as digits as its factorization.

101032332029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 101032332029 in words is "one hundred one billion, thirty-two million, three hundred thirty-two thousand, twenty-nine".