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201000222300 = 2235223151192917
BaseRepresentation
bin1011101100110010001…
…0111111111001011100
3201012211001101020112210
42323030202333321130
511243122024103200
6232201020200420
720343654462003
oct2731442777134
9635731336483
10201000222300
1178275426aa9
1232b56699110
1315c536065a7
149a2ac89c3a
15536619b650
hex2ecc8bfe5c

201000222300 has 144 divisors (see below), whose sum is σ = 610867901952. Its totient is φ = 50929824000.

The previous prime is 201000222289. The next prime is 201000222359. The reversal of 201000222300 is 3222000102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945442 + ... + 1138358.

It is an arithmetic number, because the mean of its divisors is an integer number (4242138208).

Almost surely, 2201000222300 is an apocalyptic number.

201000222300 is a gapful number since it is divisible by the number (20) 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 201000222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305433950976).

201000222300 is an abundant number, since it is smaller than the sum of its proper divisors (409867679652).

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

201000222300 is a wasteful number, since it uses less digits than its factorization.

201000222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193108 (or 193101 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 201000222300 its reverse (3222000102), we get a palindrome (204222222402).

It can be divided in two parts, 2010002 and 22300, that added together give a palindrome (2032302).

The spelling of 201000222300 in words is "two hundred one billion, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 151 230 276 300 302 345 453 460 575 604 690 755 906 1150 1380 1510 1725 1812 2265 2300 3020 3450 3473 3775 4530 6900 6946 7550 9060 10419 11325 13892 15100 17365 20838 22650 34730 41676 45300 52095 69460 86825 104190 173650 192917 208380 260475 347300 385834 520950 578751 771668 964585 1041900 1157502 1929170 2315004 2893755 3858340 4437091 4822925 5787510 8874182 9645850 11575020 13311273 14468775 17748364 19291700 22185455 26622546 28937550 29130467 44370910 53245092 57875100 58260934 66556365 87391401 88741820 110927275 116521868 133112730 145652335 174782802 221854550 266225460 291304670 332781825 349565604 436957005 443709100 582609340 665563650 670000741 728261675 873914010 1331127300 1340001482 1456523350 1747828020 2010002223 2184785025 2680002964 2913046700 3350003705 4020004446 4369570050 6700007410 8040008892 8739140100 10050011115 13400014820 16750018525 20100022230 33500037050 40200044460 50250055575 67000074100 100500111150 201000222300