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201110209984 = 2617461400963
BaseRepresentation
bin1011101101001100011…
…0100100010111000000
3201020002201100012021201
42323103012210113000
511243333203204414
6232215545430544
720346461402545
oct2732306442700
9636081305251
10201110209984
117832151a412
1232b8749b454
1315c70336168
149a3b71abcc
155370b75574
hex2ed31a45c0

201110209984 has 56 divisors (see below), whose sum is σ = 423470911248. Its totient is φ = 94434570240.

The previous prime is 201110209957. The next prime is 201110209987. The reversal of 201110209984 is 489902011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110209987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301087 + ... + 702049.

It is an arithmetic number, because the mean of its divisors is an integer number (7561980558).

Almost surely, 2201110209984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201110209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211735455624).

201110209984 is an abundant number, since it is smaller than the sum of its proper divisors (222360701264).

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

201110209984 is a wasteful number, since it uses less digits than its factorization.

201110209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401453 (or 401443 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 201110209984 in words is "two hundred one billion, one hundred ten million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 461 544 922 1088 1844 3688 7376 7837 14752 15674 29504 31348 62696 125392 250784 400963 501568 801926 1603852 3207704 6415408 6816371 12830816 13632742 25661632 27265484 54530968 109061936 184843943 218123872 369687886 436247744 739375772 1478751544 2957503088 3142347031 5915006176 6284694062 11830012352 12569388124 25138776248 50277552496 100555104992 201110209984