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103233131331101 is a prime number
BaseRepresentation
bin10111011110001111010110…
…000111110011111000011101
3111112111222202102022111100022
4113132033112013303320131
5102012332423110043401
61003320351255441525
730513230142051362
oct2736172607637035
9445458672274308
10103233131331101
112a990a1a399522
12b6b33329862a5
13457aac5004c35
141b6c720066469
15be04e5e4871b
hex5de3d61f3e1d

103233131331101 has 2 divisors, whose sum is σ = 103233131331102. Its totient is φ = 103233131331100.

The previous prime is 103233131331041. The next prime is 103233131331133. The reversal of 103233131331101 is 101133131332301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87521825196100 + 15711306135001 = 9355310^2 + 3963749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103233131331101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103233131337101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51616565665550 + 51616565665551.

It is an arithmetic number, because the mean of its divisors is an integer number (51616565665551).

Almost surely, 2103233131331101 is an apocalyptic number.

It is an amenable number.

103233131331101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103233131331101 is an equidigital number, since it uses as much as digits as its factorization.

103233131331101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 103233131331101 its reverse (101133131332301), we get a palindrome (204366262663402).

The spelling of 103233131331101 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred one".