Search a number
-
+
151250120257 is a prime number
BaseRepresentation
bin1000110011011100110…
…1011010111001000001
3112110101212210012110211
42030313031122321001
54434230012322012
6153252222554121
713633055544505
oct2146715327101
9473355705424
10151250120257
1159165827a95
1225391438941
13113555719a2
14746b80a305
153e0371a6a7
hex233735ae41

151250120257 has 2 divisors, whose sum is σ = 151250120258. Its totient is φ = 151250120256.

The previous prime is 151250120233. The next prime is 151250120279. The reversal of 151250120257 is 752021052151.

It is a happy number.

151250120257 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., 150230659216 + 1019461041 = 387596^2 + 31929^2 .

It is a cyclic number.

It is not a de Polignac number, because 151250120257 - 215 = 151250087489 is a prime.

It is not a weakly prime, because it can be changed into another prime (151250127257) 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, 75625060128 + 75625060129.

It is an arithmetic number, because the mean of its divisors is an integer number (75625060129).

Almost surely, 2151250120257 is an apocalyptic number.

It is an amenable number.

151250120257 is a deficient number, since it is larger than the sum of its proper divisors (1).

151250120257 is an equidigital number, since it uses as much as digits as its factorization.

151250120257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 31.

The spelling of 151250120257 in words is "one hundred fifty-one billion, two hundred fifty million, one hundred twenty thousand, two hundred fifty-seven".