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201100310420 = 225411731417597
BaseRepresentation
bin1011101101001010000…
…0110011011110010100
3201020002000201020122012
42323102200303132110
511243323134413140
6232214553323352
720346311302052
oct2732240633624
9636060636565
10201100310420
1178316978759
1232b84106558
1315c6b27b229
149a3a2a11d2
15536ed6c265
hex2ed2833794

201100310420 has 48 divisors (see below), whose sum is σ = 435111859728. Its totient is φ = 78024483840.

The previous prime is 201100310407. The next prime is 201100310441. The reversal of 201100310420 is 24013001102.

201100310420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3909250576 + 197191059844 = 62524^2 + 444062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201100310395 and 201100310404.

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 15 ways as a sum of consecutive naturals, for example, 566939 + ... + 850658.

It is an arithmetic number, because the mean of its divisors is an integer number (9064830411).

Almost surely, 2201100310420 is an apocalyptic number.

201100310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100310420 is an abundant number, since it is smaller than the sum of its proper divisors (234011549308).

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

201100310420 is a wasteful number, since it uses less digits than its factorization.

201100310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417820 (or 1417818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201100310420 its reverse (24013001102), we get a palindrome (225113311522).

The spelling of 201100310420 in words is "two hundred one billion, one hundred million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 173 205 346 410 692 820 865 1730 3460 7093 14186 28372 35465 70930 141860 1417597 2835194 5670388 7087985 14175970 28351940 58121477 116242954 232485908 245244281 290607385 490488562 581214770 980977124 1162429540 1226221405 2452442810 4904885620 10055015521 20110031042 40220062084 50275077605 100550155210 201100310420