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10025106829 is a prime number
BaseRepresentation
bin10010101011000101…
…01111110110001101
3221212200000012012221
421111202233312031
5131012411404304
64334440455341
7503301000463
oct112542576615
927780005187
1010025106829
114284a03161
121b3947a551
13c39c6b19a
146b161a833
153da1bc054
hex2558afd8d

10025106829 has 2 divisors, whose sum is σ = 10025106830. Its totient is φ = 10025106828.

The previous prime is 10025106803. The next prime is 10025106893. The reversal of 10025106829 is 92860152001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10025015625 + 91204 = 100125^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 10025106829 - 221 = 10023009677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10025106794 and 10025106803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10025106029) 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, 5012553414 + 5012553415.

It is an arithmetic number, because the mean of its divisors is an integer number (5012553415).

Almost surely, 210025106829 is an apocalyptic number.

It is an amenable number.

10025106829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10025106829 is an equidigital number, since it uses as much as digits as its factorization.

10025106829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 10025106829 in words is "ten billion, twenty-five million, one hundred six thousand, eight hundred twenty-nine".