Search a number
-
+
10001020181 is a prime number
BaseRepresentation
bin10010101000001101…
…10111010100010101
3221210222200110112212
421110012313110111
5130440230121211
64332220323205
7502556161145
oct112406672425
927728613485
1010001020181
114272351539
121b313a3505
13c34c86929
146ac34a925
153d801038b
hex2541b7515

10001020181 has 2 divisors, whose sum is σ = 10001020182. Its totient is φ = 10001020180.

The previous prime is 10001020123. The next prime is 10001020199. The reversal of 10001020181 is 18102010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9368497681 + 632522500 = 96791^2 + 25150^2 .

It is an emirp because it is prime and its reverse (18102010001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001020181 is a prime.

It is a super-2 number, since 2×100010201812 (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 (10001022181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000510090 + 5000510091.

It is an arithmetic number, because the mean of its divisors is an integer number (5000510091).

Almost surely, 210001020181 is an apocalyptic number.

It is an amenable number.

10001020181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001020181 is an equidigital number, since it uses as much as digits as its factorization.

10001020181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001020181 its reverse (18102010001), we get a palindrome (28103030182).

The spelling of 10001020181 in words is "ten billion, one million, twenty thousand, one hundred eighty-one".