Search a number
-
+
149012221012181 is a prime number
BaseRepresentation
bin100001111000011010011100…
…100000000010100011010101
3201112121102120220001010000022
4201320122130200002203111
5124012404012034342211
61244531134100154525
743246530514661432
oct4170323440024325
9645542526033008
10149012221012181
114353080102573a
1214867697398a45
13651ba3b468237
1428b23310c2b89
15123623aa43bdb
hex87869c8028d5

149012221012181 has 2 divisors, whose sum is σ = 149012221012182. Its totient is φ = 149012221012180.

The previous prime is 149012221012169. The next prime is 149012221012231. The reversal of 149012221012181 is 181210122210941.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91252357812100 + 57759863200081 = 9552610^2 + 7599991^2 .

It is an emirp because it is prime and its reverse (181210122210941) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 149012221012181 - 230 = 149011147270357 is a prime.

It is a super-2 number, since 2×1490122210121812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (149012221017181) 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, 74506110506090 + 74506110506091.

It is an arithmetic number, because the mean of its divisors is an integer number (74506110506091).

Almost surely, 2149012221012181 is an apocalyptic number.

It is an amenable number.

149012221012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

149012221012181 is an equidigital number, since it uses as much as digits as its factorization.

149012221012181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 35.

The spelling of 149012221012181 in words is "one hundred forty-nine trillion, twelve billion, two hundred twenty-one million, twelve thousand, one hundred eighty-one".