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11030223132 = 22326722320507
BaseRepresentation
bin10100100010111001…
…11101100100011100
31001110201022101120200
422101130331210130
5140042214120012
65022303543500
7540224230635
oct122134754434
931421271520
1011030223132
114750300995
122179bbab90
13106a27a066
14768cda88c
1544855e3dc
hex29173d91c

11030223132 has 72 divisors (see below), whose sum is σ = 28426384896. Its totient is φ = 3605446944.

The previous prime is 11030223073. The next prime is 11030223133. The reversal of 11030223132 is 23132203011.

11030223132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030223133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527623 + ... + 548129.

Almost surely, 211030223132 is an apocalyptic number.

11030223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11030223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213192448).

11030223132 is an abundant number, since it is smaller than the sum of its proper divisors (17396161764).

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

11030223132 is a wasteful number, since it uses less digits than its factorization.

11030223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20807 (or 20802 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11030223132 its reverse (23132203011), we get a palindrome (34162426143).

The spelling of 11030223132 in words is "eleven billion, thirty million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 223 268 402 446 603 669 804 892 1206 1338 2007 2412 2676 4014 8028 14941 20507 29882 41014 44823 59764 61521 82028 89646 123042 134469 179292 184563 246084 268938 369126 537876 738252 1373969 2747938 4121907 4573061 5495876 8243814 9146122 12365721 13719183 16487628 18292244 24731442 27438366 41157549 49462884 54876732 82315098 164630196 306395087 612790174 919185261 1225580348 1838370522 2757555783 3676741044 5515111566 11030223132