Search a number
-
+
182020000157 is a prime number
BaseRepresentation
bin1010100110000100111…
…1001100100110011101
3122101211021202001112022
42221201033030212131
510440234110001112
6215341400145525
716102424321252
oct2514117144635
9571737661468
10182020000157
11702155aa1a6
122b33a1682a5
131421a2a2108
148b4a1bd429
154b04c1bd72
hex2a613cc99d

182020000157 has 2 divisors, whose sum is σ = 182020000158. Its totient is φ = 182020000156.

The previous prime is 182020000153. The next prime is 182020000193. The reversal of 182020000157 is 751000020281.

182020000157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172799007481 + 9220992676 = 415691^2 + 96026^2 .

It is a cyclic number.

It is not a de Polignac number, because 182020000157 - 22 = 182020000153 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (182020000153) 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, 91010000078 + 91010000079.

It is an arithmetic number, because the mean of its divisors is an integer number (91010000079).

Almost surely, 2182020000157 is an apocalyptic number.

It is an amenable number.

182020000157 is a deficient number, since it is larger than the sum of its proper divisors (1).

182020000157 is an equidigital number, since it uses as much as digits as its factorization.

182020000157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

The spelling of 182020000157 in words is "one hundred eighty-two billion, twenty million, one hundred fifty-seven", and thus it is an aban number.