Search a number
-
+
152120014117 is a prime number
BaseRepresentation
bin1000110110101100001…
…1110011010100100101
3112112122111122101111221
42031223003303110211
54443020210422432
6153514415500341
713663450533301
oct2155303632445
9475574571457
10152120014117
1159571867135
12255948276b1
1311463856c96
14751116ad01
153e54c9bb97
hex236b0f3525

152120014117 has 2 divisors, whose sum is σ = 152120014118. Its totient is φ = 152120014116.

The previous prime is 152120014097. The next prime is 152120014129. The reversal of 152120014117 is 711410021251.

It is a happy number.

152120014117 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., 129667688836 + 22452325281 = 360094^2 + 149841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152120014117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152120014091 and 152120014100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152120014217) 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, 76060007058 + 76060007059.

It is an arithmetic number, because the mean of its divisors is an integer number (76060007059).

Almost surely, 2152120014117 is an apocalyptic number.

It is an amenable number.

152120014117 is a deficient number, since it is larger than the sum of its proper divisors (1).

152120014117 is an equidigital number, since it uses as much as digits as its factorization.

152120014117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 152120014117 its reverse (711410021251), we get a palindrome (863530035368).

The spelling of 152120014117 in words is "one hundred fifty-two billion, one hundred twenty million, fourteen thousand, one hundred seventeen".