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1010456101 is a prime number
BaseRepresentation
bin111100001110100…
…101011000100101
32121102100111012001
4330032211120211
54032134043401
6244133325301
734016510104
oct7416453045
92542314161
101010456101
11479415696
12242496831
1313145b525
14982b003b
155da99601
hex3c3a5625

1010456101 has 2 divisors, whose sum is σ = 1010456102. Its totient is φ = 1010456100.

The previous prime is 1010456099. The next prime is 1010456107. The reversal of 1010456101 is 1016540101.

1010456101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 700660900 + 309795201 = 26470^2 + 17601^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010456101 - 21 = 1010456099 is a prime.

Together with 1010456099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010456107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505228050 + 505228051.

It is an arithmetic number, because the mean of its divisors is an integer number (505228051).

Almost surely, 21010456101 is an apocalyptic number.

It is an amenable number.

1010456101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010456101 is an equidigital number, since it uses as much as digits as its factorization.

1010456101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1010456101 is about 31787.6721544689. The cubic root of 1010456101 is about 1003.4732892945.

Adding to 1010456101 its reverse (1016540101), we get a palindrome (2026996202).

The spelling of 1010456101 in words is "one billion, ten million, four hundred fifty-six thousand, one hundred one".