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101541003049 is a prime number
BaseRepresentation
bin101111010010001010…
…0001011111100101001
3100201002120022102000201
41132210110023330221
53130423444044144
6114351452032201
710223165166523
oct1364424137451
9321076272021
10101541003049
113a077281542
1217819a62661
139762b59c75
144cb3998a13
1529946831d4
hex17a450bf29

101541003049 has 2 divisors, whose sum is σ = 101541003050. Its totient is φ = 101541003048.

The previous prime is 101541003029. The next prime is 101541003119. The reversal of 101541003049 is 940300145101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85633487424 + 15907515625 = 292632^2 + 126125^2 .

It is a cyclic number.

It is not a de Polignac number, because 101541003049 - 27 = 101541002921 is a prime.

It is not a weakly prime, because it can be changed into another prime (101541003019) 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, 50770501524 + 50770501525.

It is an arithmetic number, because the mean of its divisors is an integer number (50770501525).

Almost surely, 2101541003049 is an apocalyptic number.

It is an amenable number.

101541003049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101541003049 is an equidigital number, since it uses as much as digits as its factorization.

101541003049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 101541003049 in words is "one hundred one billion, five hundred forty-one million, three thousand, forty-nine".