Search a number
-
+
10112101213 is a prime number
BaseRepresentation
bin10010110101011101…
…00110101101011101
3222002201200222002011
421122232212231131
5131202144214323
64351225231221
7505405304434
oct113256465535
928081628064
1010112101213
11431a021345
121b62632511
13c51caa056
146bcdc411b
153e2b5320d
hex25aba6b5d

10112101213 has 2 divisors, whose sum is σ = 10112101214. Its totient is φ = 10112101212.

The previous prime is 10112101201. The next prime is 10112101229. The reversal of 10112101213 is 31210121101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5315430649 + 4796670564 = 72907^2 + 69258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10112101213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112101193 and 10112101202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112102213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056050606 + 5056050607.

It is an arithmetic number, because the mean of its divisors is an integer number (5056050607).

Almost surely, 210112101213 is an apocalyptic number.

It is an amenable number.

10112101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112101213 is an equidigital number, since it uses as much as digits as its factorization.

10112101213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10112101213 its reverse (31210121101), we get a palindrome (41322222314).

The spelling of 10112101213 in words is "ten billion, one hundred twelve million, one hundred one thousand, two hundred thirteen".