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201220332101100 = 2232521317198318983
BaseRepresentation
bin101101110000001001000010…
…011010101001110111101100
3222101110110211220202220212100
4231300021002122221313230
5202333243220004213400
61551543202221335100
760245455261113324
oct5560110232516754
9871413756686770
10201220332101100
115912a077738984
121a699a22107490
138837cc3cab730
14379918a5a2284
15183e308c46100
hexb702426a9dec

201220332101100 has 108 divisors (see below), whose sum is σ = 679230409954096. Its totient is φ = 49531158668160.

The previous prime is 201220332100999. The next prime is 201220332101101. The reversal of 201220332101100 is 1101233022102.

201220332101100 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 332 + 1 + 0 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201220332101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8599147792 + ... + 8599171191.

Almost surely, 2201220332101100 is an apocalyptic number.

201220332101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220332101100 is an abundant number, since it is smaller than the sum of its proper divisors (478010077852996).

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

201220332101100 is a wasteful number, since it uses less digits than its factorization.

201220332101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17198319016 (or 17198319006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201220332101100 its reverse (1101233022102), we get a palindrome (202321565123202).

The spelling of 201220332101100 in words is "two hundred one trillion, two hundred twenty billion, three hundred thirty-two million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 17198318983 34396637966 51594956949 68793275932 85991594915 103189913898 154784870847 171983189830 206379827796 223578146779 257974784745 309569741694 343966379660 429957974575 447156293558 515949569490 619139483388 670734440337 773924354235 859915949150 894312587116 1031899138980 1117890733895 1289873923725 1341468880674 1547848708470 1719831898300 2012203321011 2235781467790 2579747847450 2682937761348 3095697416940 3353672201685 3869621771175 4024406642022 4471562935580 5159495694900 5589453669475 6707344403370 7739243542350 8048813284044 10061016605055 11178907338950 13414688806740 15478487084700 16768361008425 20122033210110 22357814677900 33536722016850 40244066420220 50305083025275 67073444033700 100610166050550 201220332101100