Search a number
-
+
109933551253 is a prime number
BaseRepresentation
bin110011001100010001…
…1001101111010010101
3101111202110101000211101
41212120203031322111
53300120442120003
6122300333310101
710641153524221
oct1463043157225
9344673330741
10109933551253
1142693695199
1219380635331
13a49c802916
14546c447781
152cd636e11d
hex19988cde95

109933551253 has 2 divisors, whose sum is σ = 109933551254. Its totient is φ = 109933551252.

The previous prime is 109933551251. The next prime is 109933551317. The reversal of 109933551253 is 352155339901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104987664324 + 4945886929 = 324018^2 + 70327^2 .

It is a cyclic number.

It is not a de Polignac number, because 109933551253 - 21 = 109933551251 is a prime.

Together with 109933551251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (109933551251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54966775626 + 54966775627.

It is an arithmetic number, because the mean of its divisors is an integer number (54966775627).

Almost surely, 2109933551253 is an apocalyptic number.

It is an amenable number.

109933551253 is a deficient number, since it is larger than the sum of its proper divisors (1).

109933551253 is an equidigital number, since it uses as much as digits as its factorization.

109933551253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 546750, while the sum is 46.

The spelling of 109933551253 in words is "one hundred nine billion, nine hundred thirty-three million, five hundred fifty-one thousand, two hundred fifty-three".