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11230221000 = 2335329129083
BaseRepresentation
bin10100111010101111…
…11001001011001000
31001222122122100002010
422131113321023020
5140444414033000
65054210335520
7545203206045
oct123527711310
931878570063
1011230221000
114843192289
122214b8a5a0
13109c8333ab
147876bc1cc
1545adb7d50
hex29d5f92c8

11230221000 has 128 divisors (see below), whose sum is σ = 36246787200. Its totient is φ = 2891436800.

The previous prime is 11230220993. The next prime is 11230221001. The reversal of 11230221000 is 12203211.

It is a super-2 number, since 2×112302210002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11230221001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22459 + ... + 151541.

It is an arithmetic number, because the mean of its divisors is an integer number (283178025).

Almost surely, 211230221000 is an apocalyptic number.

11230221000 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 11230221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123393600).

11230221000 is an abundant number, since it is smaller than the sum of its proper divisors (25016566200).

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

11230221000 is a wasteful number, since it uses less digits than its factorization.

11230221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129136 (or 129122 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11230221000 its reverse (12203211), we get a palindrome (11242424211).

The spelling of 11230221000 in words is "eleven billion, two hundred thirty million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 129083 258166 387249 516332 645415 774498 1032664 1290830 1548996 1936245 2581660 3097992 3227075 3743407 3872490 5163320 6454150 7486814 7744980 9681225 11230221 12908300 14973628 15489960 16135375 18717035 19362450 22460442 25816600 29947256 32270750 37434070 38724900 44920884 48406125 56151105 64541500 74868140 77449800 89841768 93585175 96812250 112302210 129083000 149736280 187170350 193624500 224604420 280755525 374340700 387249000 449208840 467925875 561511050 748681400 935851750 1123022100 1403777625 1871703500 2246044200 2807555250 3743407000 5615110500 11230221000