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10100009011 is a prime number
BaseRepresentation
bin10010110100000000…
…11110100000110011
3222001212221121200211
421122000132200303
5131141100242021
64350114124551
7505200442261
oct113200364063
928055847624
1010100009011
114313212294
121b5a580757
13c4c6350c1
146bb557431
153e1a653e1
hex25a01e833

10100009011 has 2 divisors, whose sum is σ = 10100009012. Its totient is φ = 10100009010.

The previous prime is 10100008979. The next prime is 10100009057. The reversal of 10100009011 is 11090000101.

It is a weak prime.

It is an emirp because it is prime and its reverse (11090000101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 11060000101 and 10100006011.

It is a cyclic number.

It is not a de Polignac number, because 10100009011 - 25 = 10100008979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100008982 and 10100009000.

It is not a weakly prime, because it can be changed into another prime (10100009071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050004505 + 5050004506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050004506).

Almost surely, 210100009011 is an apocalyptic number.

10100009011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100009011 is an equidigital number, since it uses as much as digits as its factorization.

10100009011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10100009011 its reverse (11090000101), we get a palindrome (21190009112).

It can be divided in two parts, 101000090 and 11, that added together give a palindrome (101000101).

The spelling of 10100009011 in words is "ten billion, one hundred million, nine thousand, eleven".