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220133003100 = 223521840139877
BaseRepresentation
bin1100110100000011110…
…0110000111101011100
3210001012110002012200220
43031000330300331130
512101313022044400
6245043330121340
721622046440023
oct3150074607534
9701173065626
10220133003100
11853a338343a
12367b6120250
13179b242446a
14a923d098ba
155ad5c137a0
hex3340f30f5c

220133003100 has 72 divisors (see below), whose sum is σ = 636968741808. Its totient is φ = 58697472000.

The previous prime is 220133003093. The next prime is 220133003141. The reversal of 220133003100 is 1300331022.

220133003100 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 2×2201330031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220133003100.

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 23 ways as a sum of consecutive naturals, for example, 5500362 + ... + 5540238.

Almost surely, 2220133003100 is an apocalyptic number.

220133003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220133003100 is an abundant number, since it is smaller than the sum of its proper divisors (416835738708).

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

220133003100 is a wasteful number, since it uses less digits than its factorization.

220133003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58295 (or 58288 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 220133003100 its reverse (1300331022), we get a palindrome (221433334122).

The spelling of 220133003100 in words is "two hundred twenty billion, one hundred thirty-three million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 18401 36802 39877 55203 73604 79754 92005 110406 119631 159508 184010 199385 220812 239262 276015 368020 398770 460025 478524 552030 598155 797540 920050 996925 1104060 1196310 1380075 1840100 1993850 2392620 2760150 2990775 3987700 5520300 5981550 11963100 733776677 1467553354 2201330031 2935106708 3668883385 4402660062 7337766770 8805320124 11006650155 14675533540 18344416925 22013300310 36688833850 44026600620 55033250775 73377667700 110066501550 220133003100