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11203324400 = 245235837817
BaseRepresentation
bin10100110111100010…
…10010100111110000
31001220210000211212202
422123301102213300
5140421022340100
65051410042332
7544425454232
oct123361224760
931823024782
1011203324400
114829a91494
122207b793a8
1310970a6b48
14783cba252
154588537d5
hex29bc529f0

11203324400 has 60 divisors (see below), whose sum is σ = 26926943232. Its totient is φ = 4479505920.

The previous prime is 11203324397. The next prime is 11203324417. The reversal of 11203324400 is 442330211.

11203324400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112033244002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1429292 + ... + 1437108.

Almost surely, 211203324400 is an apocalyptic number.

11203324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11203324400 is an abundant number, since it is smaller than the sum of its proper divisors (15723618832).

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

11203324400 is a wasteful number, since it uses less digits than its factorization.

11203324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11203324400 its reverse (442330211), we get a palindrome (11645654611).

The spelling of 11203324400 in words is "eleven billion, two hundred three million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3583 7166 7817 14332 15634 17915 28664 31268 35830 39085 57328 62536 71660 78170 89575 125072 143320 156340 179150 195425 286640 312680 358300 390850 625360 716600 781700 1433200 1563400 3126800 28008311 56016622 112033244 140041555 224066488 280083110 448132976 560166220 700207775 1120332440 1400415550 2240664880 2800831100 5601662200 11203324400