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11303222000 = 24537316477
BaseRepresentation
bin10101000011011100…
…10111101011110000
31002011202000011121212
422201232113223300
5141122111101000
65105335135252
7550050542000
oct124156275360
932152004555
1011303222000
114880412a94
122235514528
1310b19b2b55
14793282000
154624d7c35
hex2a1b97af0

11303222000 has 160 divisors (see below), whose sum is σ = 31875043200. Its totient is φ = 3875155200.

The previous prime is 11303221991. The next prime is 11303222053. The reversal of 11303222000 is 22230311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677762 + ... + 694238.

It is an arithmetic number, because the mean of its divisors is an integer number (199219020).

Almost surely, 211303222000 is an apocalyptic number.

11303222000 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 11303222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937521600).

11303222000 is an abundant number, since it is smaller than the sum of its proper divisors (20571821200).

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

11303222000 is an equidigital number, since it uses as much as digits as its factorization.

11303222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16521 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11303222000 its reverse (22230311), we get a palindrome (11325452311).

The spelling of 11303222000 in words is "eleven billion, three hundred three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 343 350 392 400 490 500 560 686 700 784 875 980 1000 1225 1372 1400 1715 1750 1960 2000 2450 2744 2800 3430 3500 3920 4900 5488 6125 6860 7000 8575 9800 12250 13720 14000 16477 17150 19600 24500 27440 32954 34300 42875 49000 65908 68600 82385 85750 98000 115339 131816 137200 164770 171500 230678 263632 329540 343000 411925 461356 576695 659080 686000 807373 823850 922712 1153390 1318160 1614746 1647700 1845424 2059625 2306780 2883475 3229492 3295400 4036865 4119250 4613560 5651611 5766950 6458984 6590800 8073730 8238500 9227120 11303222 11533900 12917968 14417375 16147460 16477000 20184325 22606444 23067800 28258055 28834750 32294920 32954000 40368650 45212888 46135600 56516110 57669500 64589840 80737300 90425776 100921625 113032220 115339000 141290275 161474600 201843250 226064440 230678000 282580550 322949200 403686500 452128880 565161100 706451375 807373000 1130322200 1412902750 1614746000 2260644400 2825805500 5651611000 11303222000