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22110230100 = 22352712782903
BaseRepresentation
bin10100100101110111…
…110101011001010100
32010001220022001202010
4110211313311121110
5330240204330400
614053550544220
71411624566150
oct244567653124
963056261663
1022110230100
119416715142
124350808070
132114937cba
1410da676060
15896154450
hex525df5654

22110230100 has 144 divisors (see below), whose sum is σ = 73687728128. Its totient is φ = 5013912960.

The previous prime is 22110230081. The next prime is 22110230111. The reversal of 22110230100 is 103201122.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225249 + ... + 308151.

Almost surely, 222110230100 is an apocalyptic number.

22110230100 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 22110230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36843864064).

22110230100 is an abundant number, since it is smaller than the sum of its proper divisors (51577498028).

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

22110230100 is a wasteful number, since it uses less digits than its factorization.

22110230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83054 (or 83047 counting only the distinct ones).

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

Adding to 22110230100 its reverse (103201122), we get a palindrome (22213431222).

The spelling of 22110230100 in words is "twenty-two billion, one hundred ten million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 127 140 150 175 210 254 300 350 381 420 508 525 635 700 762 889 1050 1270 1524 1778 1905 2100 2540 2667 3175 3556 3810 4445 5334 6350 7620 8890 9525 10668 12700 13335 17780 19050 22225 26670 38100 44450 53340 66675 82903 88900 133350 165806 248709 266700 331612 414515 497418 580321 829030 994836 1160642 1243545 1658060 1740963 2072575 2321284 2487090 2901605 3481926 4145150 4974180 5803210 6217725 6963852 8290300 8704815 10528681 11606420 12435450 14508025 17409630 21057362 24870900 29016050 31586043 34819260 42114724 43524075 52643405 58032100 63172086 73700767 87048150 105286810 126344172 147401534 157930215 174096300 210573620 221102301 263217025 294803068 315860430 368503835 442204602 526434050 631720860 737007670 789651075 884409204 1052868100 1105511505 1474015340 1579302150 1842519175 2211023010 3158604300 3685038350 4422046020 5527557525 7370076700 11055115050 22110230100