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1010211001249 is a prime number
BaseRepresentation
bin11101011001101010100…
…01001001001110100001
310120120112100020000220111
432230311101021032201
5113022403004014444
62052030131411321
7132661653554662
oct16546521111641
93516470200814
101010211001249
1135a4788572aa
12143951753b41
13743548c2808
1436c74613369
151b427e03234
hexeb354493a1

1010211001249 has 2 divisors, whose sum is σ = 1010211001250. Its totient is φ = 1010211001248.

The previous prime is 1010211001193. The next prime is 1010211001253. The reversal of 1010211001249 is 9421001120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 746138346849 + 264072654400 = 863793^2 + 513880^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010211001249 - 217 = 1010210870177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010211001549) 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, 505105500624 + 505105500625.

It is an arithmetic number, because the mean of its divisors is an integer number (505105500625).

Almost surely, 21010211001249 is an apocalyptic number.

It is an amenable number.

1010211001249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010211001249 is an equidigital number, since it uses as much as digits as its factorization.

1010211001249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 1010211001249 in words is "one trillion, ten billion, two hundred eleven million, one thousand, two hundred forty-nine".