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20330201100 = 223521153116239
BaseRepresentation
bin10010111011110001…
…100100000000001100
31221110211212020000010
4102323301210000030
5313114012413400
613201202433220
71316541600216
oct227361440014
957424766003
1020330201100
118692960aa0
123b34662810
131bbcc1b0c1
14dac0bb5b6
157dec43450
hex4bbc6400c

20330201100 has 144 divisors (see below), whose sum is σ = 65380815360. Its totient is φ = 4835500800.

The previous prime is 20330201081. The next prime is 20330201107. The reversal of 20330201100 is 110203302.

It is a happy number.

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 (20330201107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116781 + ... + 233019.

It is an arithmetic number, because the mean of its divisors is an integer number (454033440).

Almost surely, 220330201100 is an apocalyptic number.

20330201100 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 20330201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32690407680).

20330201100 is an abundant number, since it is smaller than the sum of its proper divisors (45050614260).

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

20330201100 is a wasteful number, since it uses less digits than its factorization.

20330201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116320 (or 116313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20330201100 its reverse (110203302), we get a palindrome (20440404402).

The spelling of 20330201100 in words is "twenty billion, three hundred thirty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 132 150 159 165 212 220 265 275 300 318 330 530 550 583 636 660 795 825 1060 1100 1166 1325 1590 1650 1749 2332 2650 2915 3180 3300 3498 3975 5300 5830 6996 7950 8745 11660 14575 15900 17490 29150 34980 43725 58300 87450 116239 174900 232478 348717 464956 581195 697434 1162390 1278629 1394868 1743585 2324780 2557258 2905975 3487170 3835887 5114516 5811950 6160667 6393145 6974340 7671774 8717925 11623900 12321334 12786290 15343548 17435850 18482001 19179435 24642668 25572580 30803335 31965725 34871700 36964002 38358870 61606670 63931450 67767337 73928004 76717740 92410005 95897175 123213340 127862900 135534674 154016675 184820010 191794350 203302011 271069348 308033350 338836685 369640020 383588700 406604022 462050025 616066700 677673370 813208044 924100050 1016510055 1355346740 1694183425 1848200100 2033020110 3388366850 4066040220 5082550275 6776733700 10165100550 20330201100