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10214132424049 is a prime number
BaseRepresentation
bin1001010010100010100110…
…1111000001110101110001
31100011110110110011110112201
42110220221233001311301
52314322020400032144
633420150242023201
72102642503044631
oct224505157016561
940143413143481
1010214132424049
113288875520614
12118b698347b01
1359125b340498
1427451c1186c1
1512aa5de571d4
hex94a29bc1d71

10214132424049 has 2 divisors, whose sum is σ = 10214132424050. Its totient is φ = 10214132424048.

The previous prime is 10214132423977. The next prime is 10214132424053. The reversal of 10214132424049 is 94042423141201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9876563290000 + 337569134049 = 3142700^2 + 581007^2 .

It is a cyclic number.

It is not a de Polignac number, because 10214132424049 - 225 = 10214098869617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10214132423999 and 10214132424017.

It is not a weakly prime, because it can be changed into another prime (10214132424149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5107066212024 + 5107066212025.

It is an arithmetic number, because the mean of its divisors is an integer number (5107066212025).

Almost surely, 210214132424049 is an apocalyptic number.

It is an amenable number.

10214132424049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214132424049 is an equidigital number, since it uses as much as digits as its factorization.

10214132424049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 10214132424049 in words is "ten trillion, two hundred fourteen billion, one hundred thirty-two million, four hundred twenty-four thousand, forty-nine".