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1010100110429 is a prime number
BaseRepresentation
bin11101011001011101010…
…10001000010001011101
310120120020121120012022002
432230232222020101131
5113022141112013204
62052011130532045
7132656136163064
oct16545652102135
93516217505262
101010100110429
1135a4211a73a3
12143920597025
1374337937b47
1436c639c91db
151b41d2eb91e
hexeb2ea8845d

1010100110429 has 2 divisors, whose sum is σ = 1010100110430. Its totient is φ = 1010100110428.

The previous prime is 1010100110389. The next prime is 1010100110443. The reversal of 1010100110429 is 9240110010101.

1010100110429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 667170408025 + 342929702404 = 816805^2 + 585602^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010100110429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010100110429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100110489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050055214 + 505050055215.

It is an arithmetic number, because the mean of its divisors is an integer number (505050055215).

Almost surely, 21010100110429 is an apocalyptic number.

It is an amenable number.

1010100110429 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100110429 is an equidigital number, since it uses as much as digits as its factorization.

1010100110429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 1010100110429 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, four hundred twenty-nine".