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1010107404349 is a prime number
BaseRepresentation
bin11101011001011110001…
…01111101000000111101
310120120021010021202200021
432230233011331000331
5113022144443414344
62052011551132141
7132656255162131
oct16545705750075
93516233252607
101010107404349
1135a42532942a
12143922b14051
13743392bca84
1436c649673c1
151b41dc8cb84
hexeb2f17d03d

1010107404349 has 2 divisors, whose sum is σ = 1010107404350. Its totient is φ = 1010107404348.

The previous prime is 1010107404323. The next prime is 1010107404431. The reversal of 1010107404349 is 9434047010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 941977008025 + 68130396324 = 970555^2 + 261018^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010107404349 - 213 = 1010107396157 is a prime.

It is a super-2 number, since 2×10101074043492 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010107444349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505053702174 + 505053702175.

It is an arithmetic number, because the mean of its divisors is an integer number (505053702175).

Almost surely, 21010107404349 is an apocalyptic number.

It is an amenable number.

1010107404349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010107404349 is an equidigital number, since it uses as much as digits as its factorization.

1010107404349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 1010107404349 in words is "one trillion, ten billion, one hundred seven million, four hundred four thousand, three hundred forty-nine".