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220001100111 = 331317193162597
BaseRepresentation
bin1100110011100100010…
…1100110000101001111
3210000212020212211211000
43030321011212011033
512101030240200421
6245022255031343
721615555332142
oct3147105460517
9700766784730
10220001100111
1185335981801
1236779b0b553
1317990cc0760
14a9105b2059
155ac935b226
hex333916614f

220001100111 has 128 divisors (see below), whose sum is σ = 403832217600. Its totient is φ = 116819159040.

The previous prime is 220001100107. The next prime is 220001100127. The reversal of 220001100111 is 111001100022.

It is a happy number.

220001100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220001100111 - 22 = 220001100107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220001100093 and 220001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001100161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3483265 + ... + 3545861.

It is an arithmetic number, because the mean of its divisors is an integer number (3154939200).

Almost surely, 2220001100111 is an apocalyptic number.

220001100111 is a deficient number, since it is larger than the sum of its proper divisors (183831117489).

220001100111 is a wasteful number, since it uses less digits than its factorization.

220001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62686 (or 62680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 220001100111 its reverse (111001100022), we get a palindrome (331002200133).

The spelling of 220001100111 in words is "two hundred twenty billion, one million, one hundred thousand, one hundred eleven".

Divisors: 1 3 9 13 17 19 27 31 39 51 57 93 117 153 171 221 247 279 323 351 403 459 513 527 589 663 741 837 969 1209 1581 1767 1989 2223 2907 3627 4199 4743 5301 5967 6669 6851 7657 8721 10013 10881 12597 14229 15903 20553 22971 30039 37791 61659 62597 68913 90117 113373 130169 184977 187791 206739 270351 390507 563373 813761 1064149 1171521 1189343 1690119 1940507 2441283 3192447 3514563 3568029 5821521 7323849 9577341 10704087 13833937 15461459 17464563 20218831 21971547 25226591 28732023 32112261 32988619 36869633 41501811 46384377 52393689 60656493 75679773 98965857 110608899 124505433 139153131 181969479 227039319 262844803 296897571 331826697 373516299 417459393 428852047 479305229 545908437 626783761 681117957 788534409 890692713 995480091 1286556141 1437915687 1880351283 2365603227 3859668423 4313747061 5641053849 7096809681 8148188893 11579005269 12941241183 16923161547 24444566679 73333700037 220001100111