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101033133049 is a prime number
BaseRepresentation
bin101111000011000001…
…0110100001111111001
3100122210011122221100201
41132012002310033321
53123403440224144
6114225230402201
710204460314132
oct1360602641771
9318704587321
10101033133049
113993662a272
12176b7960361
1396b187a984
144c66354c89
152964cb31d4
hex17860b43f9

101033133049 has 2 divisors, whose sum is σ = 101033133050. Its totient is φ = 101033133048.

The previous prime is 101033132989. The next prime is 101033133073. The reversal of 101033133049 is 940331330101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54799532649 + 46233600400 = 234093^2 + 215020^2 .

It is a cyclic number.

It is not a de Polignac number, because 101033133049 - 29 = 101033132537 is a prime.

It is not a weakly prime, because it can be changed into another prime (101033133079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516566524 + 50516566525.

It is an arithmetic number, because the mean of its divisors is an integer number (50516566525).

Almost surely, 2101033133049 is an apocalyptic number.

It is an amenable number.

101033133049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101033133049 is an equidigital number, since it uses as much as digits as its factorization.

101033133049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 101033133049 in words is "one hundred one billion, thirty-three million, one hundred thirty-three thousand, forty-nine".