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11123221300 = 22521953110459
BaseRepresentation
bin10100101101111111…
…01110001100110100
31001201012022012002021
422112333232030310
5140240021040200
65035425122524
7542433551422
oct122677561464
931635265067
1011123221300
11479884a884
1221a5189444
13108360b869
147773c8112
154517ce41a
hex296fee334

11123221300 has 72 divisors (see below), whose sum is σ = 25887405600. Its totient is φ = 4135547520.

The previous prime is 11123221297. The next prime is 11123221309. The reversal of 11123221300 is 312232111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123221309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45471 + ... + 155929.

It is an arithmetic number, because the mean of its divisors is an integer number (359547300).

Almost surely, 211123221300 is an apocalyptic number.

11123221300 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 11123221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943702800).

11123221300 is an abundant number, since it is smaller than the sum of its proper divisors (14764184300).

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

11123221300 is a wasteful number, since it uses less digits than its factorization.

11123221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110545 (or 110538 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11123221300 its reverse (312232111), we get a palindrome (11435453411).

The spelling of 11123221300 in words is "eleven billion, one hundred twenty-three million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 76 95 100 106 190 212 265 380 475 530 950 1007 1060 1325 1900 2014 2650 4028 5035 5300 10070 20140 25175 50350 100700 110459 220918 441836 552295 1104590 2098721 2209180 2761475 4197442 5522950 5854327 8394884 10493605 11045900 11708654 20987210 23417308 29271635 41974420 52468025 58543270 104936050 111232213 117086540 146358175 209872100 222464426 292716350 444928852 556161065 585432700 1112322130 2224644260 2780805325 5561610650 11123221300