Search a number
-
+
13821102 = 2321731247
BaseRepresentation
bin110100101110…
…010010101110
3222000011222200
4310232102232
512014233402
61212122330
7225322521
oct64562256
928004880
1013821102
11788aaa9
1247663a6
132b2bb89
141b9abb8
15133021c
hexd2e4ae

13821102 has 72 divisors (see below), whose sum is σ = 33460128. Its totient is φ = 4106880.

The previous prime is 13821079. The next prime is 13821121. The reversal of 13821102 is 20112831.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 294043 + ... + 294089.

It is an arithmetic number, because the mean of its divisors is an integer number (464724).

Almost surely, 213821102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13821102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730064).

13821102 is an abundant number, since it is smaller than the sum of its proper divisors (19639026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13821102 is a wasteful number, since it uses less digits than its factorization.

13821102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13821102 is about 3717.6742729830. The cubic root of 13821102 is about 239.9832279946.

Adding to 13821102 its reverse (20112831), we get a palindrome (33933933).

The spelling of 13821102 in words is "thirteen million, eight hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 31 34 47 51 62 93 94 102 141 153 186 279 282 306 423 527 558 799 846 961 1054 1457 1581 1598 1922 2397 2883 2914 3162 4371 4743 4794 5766 7191 8649 8742 9486 13113 14382 16337 17298 24769 26226 32674 45167 49011 49538 74307 90334 98022 135501 147033 148614 222921 271002 294066 406503 445842 767839 813006 1535678 2303517 4607034 6910551 13821102