Search a number
-
+
122173137 = 334524931
BaseRepresentation
bin1110100100000…
…11011011010001
322111220001001000
413102003123101
5222234020022
620042332213
73012311622
oct722033321
9274801030
10122173137
1162a66539
1234aba069
131c4080c8
1412323a49
15aad46ac
hex74836d1

122173137 has 8 divisors (see below), whose sum is σ = 180997280. Its totient is φ = 81448740.

The previous prime is 122173133. The next prime is 122173147. The reversal of 122173137 is 731371221.

It is not a de Polignac number, because 122173137 - 22 = 122173133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4524931 = 122173137 / (1 + 2 + 2 + 1 + 7 + 3 + 1 + 3 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122173137.

It is not an unprimeable number, because it can be changed into a prime (122173133) 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 in 7 ways as a sum of consecutive naturals, for example, 2262439 + ... + 2262492.

It is an arithmetic number, because the mean of its divisors is an integer number (22624660).

Almost surely, 2122173137 is an apocalyptic number.

It is an amenable number.

122173137 is a deficient number, since it is larger than the sum of its proper divisors (58824143).

122173137 is an equidigital number, since it uses as much as digits as its factorization.

122173137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524940 (or 4524934 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 122173137 is about 11053.1957822161. The cubic root of 122173137 is about 496.2020738908.

The spelling of 122173137 in words is "one hundred twenty-two million, one hundred seventy-three thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 4524931 13574793 40724379 122173137