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1010103133229 is a prime number
BaseRepresentation
bin11101011001011101101…
…01101010010000101101
310120120020211020202210122
432230232311222100231
5113022142400230404
62052011315414325
7132656203652651
oct16545665522055
93516224222718
101010103133229
1135a422981483
121439215b43a5
1374338455998
1436c64174a61
151b41d6e73be
hexeb2ed6a42d

1010103133229 has 2 divisors, whose sum is σ = 1010103133230. Its totient is φ = 1010103133228.

The previous prime is 1010103133187. The next prime is 1010103133231. The reversal of 1010103133229 is 9223313010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 671460608329 + 338642524900 = 819427^2 + 581930^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010103133229 is a prime.

Together with 1010103133231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010103133198 and 1010103133207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010103133289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505051566614 + 505051566615.

It is an arithmetic number, because the mean of its divisors is an integer number (505051566615).

Almost surely, 21010103133229 is an apocalyptic number.

It is an amenable number.

1010103133229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010103133229 is an equidigital number, since it uses as much as digits as its factorization.

1010103133229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 1010103133229 in words is "one trillion, ten billion, one hundred three million, one hundred thirty-three thousand, two hundred twenty-nine".