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11332321300 = 22522913032999
BaseRepresentation
bin10101000110111010…
…11000000000010100
31002020202202120100201
422203131120000110
5141202033240200
65112254550244
7550553066416
oct124335300024
932222676321
1011332321300
1148958887a3
122243208384
1310b7a30b81
147970989b6
15464d34c6a
hex2a3758014

11332321300 has 72 divisors (see below), whose sum is σ = 25467120000. Its totient is φ = 4371803520.

The previous prime is 11332321223. The next prime is 11332321303. The reversal of 11332321300 is 312323311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332321303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3777201 + ... + 3780199.

It is an arithmetic number, because the mean of its divisors is an integer number (353710000).

Almost surely, 211332321300 is an apocalyptic number.

11332321300 is a gapful number since it is divisible by the number (10) 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 11332321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733560000).

11332321300 is an abundant number, since it is smaller than the sum of its proper divisors (14134798700).

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

11332321300 is a wasteful number, since it uses less digits than its factorization.

11332321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 11332321300 its reverse (312323311), we get a palindrome (11644644611).

The spelling of 11332321300 in words is "eleven billion, three hundred thirty-two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1303 1450 2606 2900 2999 5212 5998 6515 11996 13030 14995 26060 29990 32575 37787 59980 65150 74975 75574 86971 130300 149950 151148 173942 188935 299900 347884 377870 434855 755740 869710 944675 1739420 1889350 2174275 3778700 3907697 4348550 7815394 8697100 15630788 19538485 39076970 78153940 97692425 113323213 195384850 226646426 390769700 453292852 566616065 1133232130 2266464260 2833080325 5666160650 11332321300