Search a number
-
+
10013211 = 321323612
BaseRepresentation
bin100110001100…
…101000011011
3200211201112200
4212030220123
510030410321
6554341243
7151053015
oct46145033
920751480
1010013211
11571a08a
12342a823
1320c78a0
1414891b5
15d2bd26
hex98ca1b

10013211 has 36 divisors (see below), whose sum is σ = 16524144. Its totient is φ = 5797440.

The previous prime is 10013147. The next prime is 10013219. The reversal of 10013211 is 11231001.

10013211 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013211 - 26 = 10013147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10013193 and 10013202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164121 + ... + 164181.

It is an arithmetic number, because the mean of its divisors is an integer number (459004).

Almost surely, 210013211 is an apocalyptic number.

10013211 is a deficient number, since it is larger than the sum of its proper divisors (6510933).

10013211 is a wasteful number, since it uses less digits than its factorization.

10013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10013211 is about 3164.3658132397. The cubic root of 10013211 is about 215.5383013767.

Adding to 10013211 its reverse (11231001), we get a palindrome (21244212).

The spelling of 10013211 in words is "ten million, thirteen thousand, two hundred eleven".

Divisors: 1 3 9 13 23 39 61 69 117 183 207 299 549 793 897 1403 2379 2691 3721 4209 7137 11163 12627 18239 33489 48373 54717 85583 145119 164151 256749 435357 770247 1112579 3337737 10013211