Search a number
-
+
120102181 is a prime number
BaseRepresentation
bin1110010100010…
…01110100100101
322100222211012221
413022021310211
5221221232211
615530112341
72655565063
oct712116445
9270884187
10120102181
1161881601
123427b6b1
131bb615a4
1411d45033
15a825c71
hex7289d25

120102181 has 2 divisors, whose sum is σ = 120102182. Its totient is φ = 120102180.

The previous prime is 120102179. The next prime is 120102209. The reversal of 120102181 is 181201021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120099681 + 2500 = 10959^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 120102181 - 21 = 120102179 is a prime.

It is a super-4 number, since 4×1201021814 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 120102179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60051090 + 60051091.

It is an arithmetic number, because the mean of its divisors is an integer number (60051091).

Almost surely, 2120102181 is an apocalyptic number.

It is an amenable number.

120102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

120102181 is an equidigital number, since it uses as much as digits as its factorization.

120102181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 120102181 is about 10959.1140609084. The cubic root of 120102181 is about 493.3823751567.

The spelling of 120102181 in words is "one hundred twenty million, one hundred two thousand, one hundred eighty-one".