Search a number
-
+
10301312033101 is a prime number
BaseRepresentation
bin1001010111100111011000…
…0010110110000101001101
31100110210111010222110122001
42111321312002312011031
52322234041340024401
633524205111352301
72112150054355225
oct225716602660515
940423433873561
1010301312033101
1133118420a71a1
1211a4568682691
13599542a4617b
1427882c605085
1512ce628bc601
hex95e760b614d

10301312033101 has 2 divisors, whose sum is σ = 10301312033102. Its totient is φ = 10301312033100.

The previous prime is 10301312033093. The next prime is 10301312033113. The reversal of 10301312033101 is 10133021310301.

10301312033101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10289916684100 + 11395349001 = 3207790^2 + 106749^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301312033101 - 23 = 10301312033093 is a prime.

It is a super-2 number, since 2×103013120331012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10301312043101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150656016550 + 5150656016551.

It is an arithmetic number, because the mean of its divisors is an integer number (5150656016551).

Almost surely, 210301312033101 is an apocalyptic number.

It is an amenable number.

10301312033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301312033101 is an equidigital number, since it uses as much as digits as its factorization.

10301312033101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10301312033101 its reverse (10133021310301), we get a palindrome (20434333343402).

The spelling of 10301312033101 in words is "ten trillion, three hundred one billion, three hundred twelve million, thirty-three thousand, one hundred one".