Search a number
-
+
10133321981 is a prime number
BaseRepresentation
bin10010110111111111…
…00011100011111101
3222011012122002111112
421123333203203331
5131223112300411
64353304131405
7506053546526
oct113377434375
928135562445
1010133321981
11432aaa5872
121b69766b65
13c564ca013
146c1b4984d
153e4945b8b
hex25bfe38fd

10133321981 has 2 divisors, whose sum is σ = 10133321982. Its totient is φ = 10133321980.

The previous prime is 10133321977. The next prime is 10133322007. The reversal of 10133321981 is 18912333101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9826756900 + 306565081 = 99130^2 + 17509^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133321981 - 22 = 10133321977 is a prime.

It is a super-2 number, since 2×101333219812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133321911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066660990 + 5066660991.

It is an arithmetic number, because the mean of its divisors is an integer number (5066660991).

Almost surely, 210133321981 is an apocalyptic number.

It is an amenable number.

10133321981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133321981 is an equidigital number, since it uses as much as digits as its factorization.

10133321981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10133321981 in words is "ten billion, one hundred thirty-three million, three hundred twenty-one thousand, nine hundred eighty-one".