Search a number
-
+
10122001009 is a prime number
BaseRepresentation
bin10010110110101000…
…10111101001110001
3222010102022221001021
421123110113221301
5131212213013014
64352221335441
7505555406011
oct113324275161
928112287037
1010122001009
11432467319a
121b65a07581
13c54065113
146c043dc41
153e395b624
hex25b517a71

10122001009 has 2 divisors, whose sum is σ = 10122001010. Its totient is φ = 10122001008.

The previous prime is 10122000961. The next prime is 10122001067. The reversal of 10122001009 is 90010022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10069119025 + 52881984 = 100345^2 + 7272^2 .

It is an emirp because it is prime and its reverse (90010022101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10122001009 - 219 = 10121476721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122000983 and 10122001001.

It is not a weakly prime, because it can be changed into another prime (10122001079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061000504 + 5061000505.

It is an arithmetic number, because the mean of its divisors is an integer number (5061000505).

Almost surely, 210122001009 is an apocalyptic number.

It is an amenable number.

10122001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122001009 is an equidigital number, since it uses as much as digits as its factorization.

10122001009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10122001009 in words is "ten billion, one hundred twenty-two million, one thousand, nine".