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11322200032 = 2511135034919
BaseRepresentation
bin10101000101101101…
…10000111111100000
31002020001201100120221
422202312300333200
5141141440400112
65111254012424
7550401053353
oct124266607740
932201640527
1011322200032
1148900a5510
12223b947114
1310b58c9060
147959c229a
15463ed5e07
hex2a2db0fe0

11322200032 has 96 divisors (see below), whose sum is σ = 26244933120. Its totient is φ = 4740165120.

The previous prime is 11322200017. The next prime is 11322200051. The reversal of 11322200032 is 23000222311.

11322200032 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 11322199979 and 11322200015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2299269 + ... + 2304187.

It is an arithmetic number, because the mean of its divisors is an integer number (273384720).

Almost surely, 211322200032 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 11322200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122466560).

11322200032 is an abundant number, since it is smaller than the sum of its proper divisors (14922733088).

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

11322200032 is a wasteful number, since it uses less digits than its factorization.

11322200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11322200032 its reverse (23000222311), we get a palindrome (34322422343).

The spelling of 11322200032 in words is "eleven billion, three hundred twenty-two million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 503 572 1006 1144 2012 2288 4024 4576 4919 5533 6539 8048 9838 11066 13078 16096 19676 22132 26156 39352 44264 52312 54109 63947 71929 78704 88528 104624 108218 127894 143858 157408 177056 209248 216436 255788 287716 432872 511576 575432 703417 865744 1023152 1150864 1406834 1731488 2046304 2301728 2474257 2813668 4948514 5627336 9897028 11254672 19794056 22509344 27216827 32165341 39588112 54433654 64330682 79176224 108867308 128661364 217734616 257322728 353818751 435469232 514645456 707637502 870938464 1029290912 1415275004 2830550008 5661100016 11322200032