Search a number
-
+
11223331028 = 2272134918971
BaseRepresentation
bin10100111001111011…
…00111000011010100
31001222011200021210222
422130331213003110
5140441133043103
65053402533512
7545060511500
oct123475470324
931864607728
1011223331028
11483a306798
122212807298
13109b2902a0
14786807300
1545a4a6638
hex29cf670d4

11223331028 has 72 divisors (see below), whose sum is σ = 24657855264. Its totient is φ = 4430462400.

The previous prime is 11223331003. The next prime is 11223331033. The reversal of 11223331028 is 82013332211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 11223330988 and 11223331006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246583 + ... + 1255553.

It is an arithmetic number, because the mean of its divisors is an integer number (342470212).

Almost surely, 211223331028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11223331028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328927632).

11223331028 is an abundant number, since it is smaller than the sum of its proper divisors (13434524236).

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

11223331028 is a wasteful number, since it uses less digits than its factorization.

11223331028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11223331028 its reverse (82013332211), we get a palindrome (93236663239).

The spelling of 11223331028 in words is "eleven billion, two hundred twenty-three million, three hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 491 637 982 1274 1964 2548 3437 6383 6874 8971 12766 13748 17942 24059 25532 35884 44681 48118 62797 89362 96236 116623 125594 178724 233246 251188 312767 439579 466492 625534 816361 879158 1251068 1632722 1758316 3265444 4404761 5714527 8809522 11429054 17619044 22858108 30833327 57261893 61666654 114523786 123333308 215833289 229047572 400833251 431666578 801666502 863333156 1603333004 2805832757 5611665514 11223331028