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201100210020 = 223251958801231
BaseRepresentation
bin1011101101001010000…
…0011010111101100100
3201020002000112010220200
42323102200122331210
511243323123210040
6232214551230500
720346310403253
oct2732240327544
9636060463820
10201100210020
117831690a286
1232b84078430
1315c6b244618
149a3a27679a
15536ed4c630
hex2ed281af64

201100210020 has 72 divisors (see below), whose sum is σ = 642109453440. Its totient is φ = 50804262720.

The previous prime is 201100210013. The next prime is 201100210021. The reversal of 201100210020 is 20012001102.

201100210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 201100209984 and 201100210011.

It is not an unprimeable number, because it can be changed into a prime (201100210021) 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 23 ways as a sum of consecutive naturals, for example, 29397196 + ... + 29404035.

Almost surely, 2201100210020 is an apocalyptic number.

201100210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100210020 is an abundant number, since it is smaller than the sum of its proper divisors (441009243420).

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

201100210020 is a wasteful number, since it uses less digits than its factorization.

201100210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58801265 (or 58801260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201100210020 its reverse (20012001102), we get a palindrome (221112211122).

The spelling of 201100210020 in words is "two hundred one billion, one hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 58801231 117602462 176403693 235204924 294006155 352807386 529211079 588012310 705614772 882018465 1058422158 1117223389 1176024620 1764036930 2116844316 2234446778 2646055395 3351670167 3528073860 4468893556 5292110790 5586116945 6703340334 10055010501 10584221580 11172233890 13406680668 16758350835 20110021002 22344467780 33516701670 40220042004 50275052505 67033403340 100550105010 201100210020