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11220243100 = 225211175311321
BaseRepresentation
bin10100111001100011…
…10101001010011100
31001221221212101222021
422130301311022130
5140434340234400
65053212425524
7545022331003
oct123461651234
931857771867
1011220243100
114838597790
1222117782a4
13109a74b901
14786241c3a
1545a09671a
hex29cc7529c

11220243100 has 144 divisors (see below), whose sum is σ = 28656978336. Its totient is φ = 3767296000.

The previous prime is 11220243079. The next prime is 11220243101. The reversal of 11220243100 is 134202211.

11220243100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112202431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220243101) 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 47 ways as a sum of consecutive naturals, for example, 985440 + ... + 996760.

It is an arithmetic number, because the mean of its divisors is an integer number (199006794).

Almost surely, 211220243100 is an apocalyptic number.

11220243100 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 11220243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328489168).

11220243100 is an abundant number, since it is smaller than the sum of its proper divisors (17436735236).

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

11220243100 is a wasteful number, since it uses less digits than its factorization.

11220243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11220243100 its reverse (134202211), we get a palindrome (11354445311).

The spelling of 11220243100 in words is "eleven billion, two hundred twenty million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 53 55 68 85 100 106 110 170 187 212 220 265 275 340 374 425 530 550 583 748 850 901 935 1060 1100 1166 1325 1700 1802 1870 2332 2650 2915 3604 3740 4505 4675 5300 5830 9010 9350 9911 11321 11660 14575 18020 18700 19822 22525 22642 29150 39644 45050 45284 49555 56605 58300 90100 99110 113210 124531 192457 198220 226420 247775 249062 283025 384914 495550 498124 566050 600013 622655 769828 962285 991100 1132100 1200026 1245310 1924570 2117027 2400052 2490620 3000065 3113275 3849140 4234054 4811425 6000130 6226550 6600143 8468108 9622850 10200221 10585135 12000260 12453100 13200286 15000325 19245700 20400442 21170270 26400572 30000650 33000715 40800884 42340540 51001105 52925675 60001300 66001430 102002210 105851350 112202431 132002860 165003575 204004420 211702700 224404862 255005525 330007150 448809724 510011050 561012155 660014300 1020022100 1122024310 2244048620 2805060775 5610121550 11220243100