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100010120009 is a prime number
BaseRepresentation
bin101110100100100010…
…0010101001101001001
3100120010212200111021212
41131021010111031021
53114310042320014
6113535523542505
710140225664622
oct1351104251511
9316125614255
10100010120009
1139461118448
121747122aa35
13957a943b07
144baa536a49
15290508823e
hex1749115349

100010120009 has 2 divisors, whose sum is σ = 100010120010. Its totient is φ = 100010120008.

The previous prime is 100010120003. The next prime is 100010120027. The reversal of 100010120009 is 900021010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66832590400 + 33177529609 = 258520^2 + 182147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100010120009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010119975 and 100010120002.

It is not a weakly prime, because it can be changed into another prime (100010120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005060004 + 50005060005.

It is an arithmetic number, because the mean of its divisors is an integer number (50005060005).

Almost surely, 2100010120009 is an apocalyptic number.

It is an amenable number.

100010120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010120009 is an equidigital number, since it uses as much as digits as its factorization.

100010120009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 100010120009 in words is "one hundred billion, ten million, one hundred twenty thousand, nine".