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211013131200032 = 2575092276981283
BaseRepresentation
bin101111111110101001010010…
…101110100110011000100000
31000200010122202220221210221202
4233332221102232212120200
5210124214343041400112
62024442032204140332
762306124050045150
oct5776512256463040
91020118686853852
10211013131200032
1161265191509197
121b7bb9128376a8
1390985b7000685
143a17139118760
15195de084646c2
hexbfea52ba6620

211013131200032 has 96 divisors (see below), whose sum is σ = 475739060227200. Its totient is φ = 90251454394368.

The previous prime is 211013131200029. The next prime is 211013131200103. The reversal of 211013131200032 is 230002131310112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211013131199977 and 211013131200013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595989663 + ... + 2596070945.

It is an arithmetic number, because the mean of its divisors is an integer number (4955615210700).

Almost surely, 2211013131200032 is an apocalyptic number.

It is an amenable number.

211013131200032 is an abundant number, since it is smaller than the sum of its proper divisors (264725929027168).

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

211013131200032 is a wasteful number, since it uses less digits than its factorization.

211013131200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104578 (or 104570 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211013131200032 its reverse (230002131310112), we get a palindrome (441015262510144).

The spelling of 211013131200032 in words is "two hundred eleven trillion, thirteen billion, one hundred thirty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 509 1018 2036 3563 4072 7126 8144 14252 16288 22769 28504 45538 57008 81283 91076 114016 159383 162566 182152 318766 325132 364304 568981 637532 650264 728608 1137962 1275064 1300528 2275924 2550128 2601056 4551848 5100256 9103696 11589421 18207392 23178842 41373047 46357684 81125947 82746094 92715368 162251894 165492188 185430736 289611329 324503788 330984376 370861472 579222658 649007576 661968752 1158445316 1298015152 1323937504 1850732627 2316890632 2596030304 3701465254 4633781264 7402930508 9267562528 12955128389 14805861016 25910256778 29611722032 51820513556 59223444064 103641027112 207282054224 414564108448 942022907143 1884045814286 3768091628572 6594160350001 7536183257144 13188320700002 15072366514288 26376641400004 30144733028576 52753282800008 105506565600016 211013131200032