Search a number
-
+
153853129 is a prime number
BaseRepresentation
bin10010010101110…
…01110011001001
3101201111112211001
421022321303021
5303341300004
623133335001
73545505253
oct1112716311
9351445731
10153853129
1179934151
1243637461
1325b4a971
141660ccd3
15d7911a4
hex92b9cc9

153853129 has 2 divisors, whose sum is σ = 153853130. Its totient is φ = 153853128.

The previous prime is 153853099. The next prime is 153853151. The reversal of 153853129 is 921358351.

It is a happy number.

153853129 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., 127351225 + 26501904 = 11285^2 + 5148^2 .

It is an emirp because it is prime and its reverse (921358351) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 153853129 - 29 = 153852617 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (153853169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76926564 + 76926565.

It is an arithmetic number, because the mean of its divisors is an integer number (76926565).

Almost surely, 2153853129 is an apocalyptic number.

It is an amenable number.

153853129 is a deficient number, since it is larger than the sum of its proper divisors (1).

153853129 is an equidigital number, since it uses as much as digits as its factorization.

153853129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32400, while the sum is 37.

The square root of 153853129 is about 12403.7546331746. The cubic root of 153853129 is about 535.8403876588.

The spelling of 153853129 in words is "one hundred fifty-three million, eight hundred fifty-three thousand, one hundred twenty-nine".