Search a number
-
+
201001120131113 is a prime number
BaseRepresentation
bin101101101100111100111000…
…010111010110100000101001
3222100200112000122210001001222
4231230330320113112200221
5202321200243223143423
61551254350112151425
760223565064113111
oct5554747027264051
9870615018701058
10201001120131113
1159055107253335
121a663444538575
13882042a6363a3
14378c712b2a041
151838778d163c8
hexb6cf385d6829

201001120131113 has 2 divisors, whose sum is σ = 201001120131114. Its totient is φ = 201001120131112.

The previous prime is 201001120131083. The next prime is 201001120131131. The reversal of 201001120131113 is 311131021100102.

Together with next prime (201001120131131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200445934199449 + 555185931664 = 14157893^2 + 745108^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001120131113 - 220 = 201001119082537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201001120131091 and 201001120131100.

It is not a weakly prime, because it can be changed into another prime (201001120131143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500560065556 + 100500560065557.

It is an arithmetic number, because the mean of its divisors is an integer number (100500560065557).

Almost surely, 2201001120131113 is an apocalyptic number.

It is an amenable number.

201001120131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001120131113 is an equidigital number, since it uses as much as digits as its factorization.

201001120131113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 201001120131113 its reverse (311131021100102), we get a palindrome (512132141231215).

The spelling of 201001120131113 in words is "two hundred one trillion, one billion, one hundred twenty million, one hundred thirty-one thousand, one hundred thirteen".