Search a number
-
+
164125013 = 1318796719
BaseRepresentation
bin10011100100001…
…01100101010101
3102102211102012012
421302011211111
5314004000023
624141434005
74032016403
oct1162054525
9372742165
10164125013
118470a608
1246b6b905
13280061c0
1417b24473
15e61e978
hex9c85955

164125013 has 8 divisors (see below), whose sum is σ = 176870400. Its totient is φ = 151396848.

The previous prime is 164124991. The next prime is 164125019. The reversal of 164125013 is 310521461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164125013 - 210 = 164123989 is a prime.

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 164125013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164125019) 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, 21068 + ... + 27786.

It is an arithmetic number, because the mean of its divisors is an integer number (22108800).

Almost surely, 2164125013 is an apocalyptic number.

164125013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164125013 is a deficient number, since it is larger than the sum of its proper divisors (12745387).

164125013 is a wasteful number, since it uses less digits than its factorization.

164125013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 164125013 is about 12811.1284826904. The cubic root of 164125013 is about 547.5094142929.

Adding to 164125013 its reverse (310521461), we get a palindrome (474646474).

The spelling of 164125013 in words is "one hundred sixty-four million, one hundred twenty-five thousand, thirteen".

Divisors: 1 13 1879 6719 24427 87347 12625001 164125013