Search a number
-
+
147158871901 is a prime number
BaseRepresentation
bin1000100100001101011…
…0100010111101011101
3112001211202101020210221
42021003112202331131
54402340132400101
6151334233201341
713426506525646
oct2110326427535
9461752336727
10147158871901
115745638a5a8
122462b260251
1310b52a82082
1471a03026cd
153c6446daa1
hex22435a2f5d

147158871901 has 2 divisors, whose sum is σ = 147158871902. Its totient is φ = 147158871900.

The previous prime is 147158871887. The next prime is 147158871907. The reversal of 147158871901 is 109178851741.

147158871901 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., 145732299001 + 1426572900 = 381749^2 + 37770^2 .

It is a cyclic number.

It is not a de Polignac number, because 147158871901 - 215 = 147158839133 is a prime.

It is a super-3 number, since 3×1471588719013 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (147158871907) 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, 73579435950 + 73579435951.

It is an arithmetic number, because the mean of its divisors is an integer number (73579435951).

Almost surely, 2147158871901 is an apocalyptic number.

It is an amenable number.

147158871901 is a deficient number, since it is larger than the sum of its proper divisors (1).

147158871901 is an equidigital number, since it uses as much as digits as its factorization.

147158871901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 52.

The spelling of 147158871901 in words is "one hundred forty-seven billion, one hundred fifty-eight million, eight hundred seventy-one thousand, nine hundred one".