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201002444203400 = 23527540112658221
BaseRepresentation
bin101101101100111110000111…
…010010010010010110001000
3222100200122102221020212210022
4231230332013102102112020
5202321211001204002100
61551255125331440012
760223642642413140
oct5554760722222610
9870618387225708
10201002444203400
11590557266a2454
121a663753a56008
1388205aba4c208
14378c7da915920
1518388051ade85
hexb6cf87492588

201002444203400 has 96 divisors (see below), whose sum is σ = 534102298390080. Its totient is φ = 68913821856000.

The previous prime is 201002444203399. The next prime is 201002444203417. The reversal of 201002444203400 is 4302444200102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201002444203400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74286290 + ... + 76944510.

It is an arithmetic number, because the mean of its divisors is an integer number (5563565608230).

Almost surely, 2201002444203400 is an apocalyptic number.

201002444203400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002444203400 is an abundant number, since it is smaller than the sum of its proper divisors (333099854186680).

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

201002444203400 is a wasteful number, since it uses less digits than its factorization.

201002444203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712255 (or 2712246 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 201002444203400 its reverse (4302444200102), we get a palindrome (205304888403502).

The spelling of 201002444203400 in words is "two hundred one trillion, two billion, four hundred forty-four million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 54011 108022 216044 270055 378077 432088 540110 756154 1080220 1350275 1512308 1890385 2160440 2658221 2700550 3024616 3780770 5316442 5401100 7561540 9451925 10632884 10802200 13291105 15123080 18607547 18903850 21265768 26582210 37215094 37807700 53164420 66455525 74430188 75615400 93037735 106328840 132911050 148860376 186075470 265822100 372150940 465188675 531644200 744301880 930377350 1860754700 3721509400 143573174431 287146348862 574292697724 717865872155 1005012221017 1148585395448 1435731744310 2010024442034 2871463488620 3589329360775 4020048884068 5025061105085 5742926977240 7178658721550 8040097768136 10050122210170 14357317443100 20100244420340 25125305525425 28714634886200 40200488840680 50250611050850 100501222101700 201002444203400