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11213303200 = 2552114131079
BaseRepresentation
bin10100111000101110…
…10110110110100000
31001221110210211012221
422130113112312200
5140431101200300
65052404000424
7544606335031
oct123427266640
931843724187
1011213303200
114834687730
12220b390114
13109918bb68
14785356a88
1545967531a
hex29c5d6da0

11213303200 has 144 divisors (see below), whose sum is σ = 30592416960. Its totient is φ = 3977984000.

The previous prime is 11213303191. The next prime is 11213303201. The reversal of 11213303200 is 230331211.

11213303200 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 not an unprimeable number, because it can be changed into a prime (11213303201) 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, 345261 + ... + 376339.

It is an arithmetic number, because the mean of its divisors is an integer number (212447340).

Almost surely, 211213303200 is an apocalyptic number.

11213303200 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 11213303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296208480).

11213303200 is an abundant number, since it is smaller than the sum of its proper divisors (19379113760).

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

11213303200 is a wasteful number, since it uses less digits than its factorization.

11213303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31151 (or 31138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11213303200 its reverse (230331211), we get a palindrome (11443634411).

It can be divided in two parts, 11213 and 303200, that added together give a palindrome (314413).

The spelling of 11213303200 in words is "eleven billion, two hundred thirteen million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 80 82 88 100 110 160 164 176 200 205 220 275 328 352 400 410 440 451 550 656 800 820 880 902 1025 1100 1312 1640 1760 1804 2050 2200 2255 3280 3608 4100 4400 4510 6560 7216 8200 8800 9020 11275 14432 16400 18040 22550 31079 32800 36080 45100 62158 72160 90200 124316 155395 180400 248632 310790 341869 360800 497264 621580 683738 776975 994528 1243160 1274239 1367476 1553950 1709345 2486320 2548478 2734952 3107900 3418690 4972640 5096956 5469904 6215800 6371195 6837380 8546725 10193912 10939808 12431600 12742390 13674760 14016629 17093450 20387824 24863200 25484780 27349520 28033258 31855975 34186900 40775648 50969560 54699040 56066516 63711950 68373800 70083145 101939120 112133032 127423900 136747600 140166290 203878240 224266064 254847800 273495200 280332580 350415725 448532128 509695600 560665160 700831450 1019391200 1121330320 1401662900 2242660640 2803325800 5606651600 11213303200