Search a number
-
+
10114334232241 is a prime number
BaseRepresentation
bin1001001100101110110101…
…0011001000111010110001
31022210220212100021001002111
42103023231103020322301
52311203124030412431
633302243324245321
72062510426314331
oct223135523107261
938726770231074
1010114334232241
11324a512aa2a48
1211742860a0841
13584a1559c095
1426d771bcb0c1
1512816c7d27b1
hex932ed4c8eb1

10114334232241 has 2 divisors, whose sum is σ = 10114334232242. Its totient is φ = 10114334232240.

The previous prime is 10114334232229. The next prime is 10114334232251. The reversal of 10114334232241 is 14223243341101.

It is a happy number.

10114334232241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8209600257600 + 1904733974641 = 2865240^2 + 1380121^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114334232241 - 217 = 10114334101169 is a prime.

It is a super-2 number, since 2×101143342322412 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10114334232251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057167116120 + 5057167116121.

It is an arithmetic number, because the mean of its divisors is an integer number (5057167116121).

Almost surely, 210114334232241 is an apocalyptic number.

It is an amenable number.

10114334232241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114334232241 is an equidigital number, since it uses as much as digits as its factorization.

10114334232241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 10114334232241 its reverse (14223243341101), we get a palindrome (24337577573342).

The spelling of 10114334232241 in words is "ten trillion, one hundred fourteen billion, three hundred thirty-four million, two hundred thirty-two thousand, two hundred forty-one".