Search a number
-
+
210014013 = 311241103137
BaseRepresentation
bin11001000010010…
…00111100111101
3112122011211001210
430201020330331
5412230422023
632501155033
75130042516
oct1441107475
9478154053
10210014013
11a8602700
125a3bba79
1334682361
141dc6ba0d
1513686593
hexc848f3d

210014013 has 48 divisors (see below), whose sum is σ = 320681088. Its totient is φ = 122073600.

The previous prime is 210013967. The next prime is 210014059. The reversal of 210014013 is 310410012.

It is a happy number.

210014013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210013967) and next prime (210014059).

It is not a de Polignac number, because 210014013 - 216 = 209948477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210014013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210014083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532881 + ... + 1533017.

It is an arithmetic number, because the mean of its divisors is an integer number (6680856).

Almost surely, 2210014013 is an apocalyptic number.

It is an amenable number.

210014013 is a deficient number, since it is larger than the sum of its proper divisors (110667075).

210014013 is a wasteful number, since it uses less digits than its factorization.

210014013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 210014013 is about 14491.8602325581. The cubic root of 210014013 is about 594.4054159629.

Adding to 210014013 its reverse (310410012), we get a palindrome (520424025).

The spelling of 210014013 in words is "two hundred ten million, fourteen thousand, thirteen".

Divisors: 1 3 11 33 41 103 121 123 137 309 363 411 451 1133 1353 1507 3399 4223 4521 4961 5617 12463 12669 14111 14883 16577 16851 37389 42333 46453 49731 61787 139359 155221 185361 465663 510983 578551 679657 1532949 1707431 1735653 2038971 5122293 6364061 19092183 70004671 210014013