Search a number
-
+
11213232210 = 23253710930893
BaseRepresentation
bin10100111000101110…
…00101100001010010
31001221110200012211200
422130113011201102
5140431041412320
65052402252030
7544605621045
oct123427054122
931843605750
1011213232210
114834639364
12220b357016
13109916575b
14785338c5c
1545965e290
hex29c5c5852

11213232210 has 96 divisors (see below), whose sum is σ = 30218039280. Its totient is φ = 2882594304.

The previous prime is 11213232193. The next prime is 11213232211. The reversal of 11213232210 is 1223231211.

11213232210 is a `hidden beast` number, since 1 + 121 + 323 + 221 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7759671921 + 3453560289 = 88089^2 + 58767^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11213232211) 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, 347524 + ... + 378416.

Almost surely, 211213232210 is an apocalyptic number.

11213232210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213232210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109019640).

11213232210 is an abundant number, since it is smaller than the sum of its proper divisors (19004807070).

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

11213232210 is a wasteful number, since it uses less digits than its factorization.

11213232210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31052 (or 31049 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11213232210 its reverse (1223231211), we get a palindrome (12436463421).

Subtracting from 11213232210 its reverse (1223231211), we obtain a palindrome (9990000999).

The spelling of 11213232210 in words is "eleven billion, two hundred thirteen million, two hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 109 111 185 218 222 327 333 370 545 555 654 666 981 1090 1110 1635 1665 1962 3270 3330 4033 4905 8066 9810 12099 20165 24198 30893 36297 40330 60495 61786 72594 92679 120990 154465 181485 185358 278037 308930 362970 463395 556074 926790 1143041 1390185 2286082 2780370 3367337 3429123 5715205 6734674 6858246 10102011 10287369 11430410 16836685 17145615 20204022 20574738 30306033 33673370 34291230 50510055 51436845 60612066 101020110 102873690 124591469 151530165 249182938 303060330 373774407 622957345 747548814 1121323221 1245914690 1868872035 2242646442 3737744070 5606616105 11213232210