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211041113024000 = 29537471073913
BaseRepresentation
bin101111111111000011010110…
…100100110010011000000000
31000200020100000000200202021102
4233333003112210302120000
5210130144144413232000
62024502540543513532
762311134342450650
oct5777032644623000
91020210000622242
10211041113024000
1161276040520746
121b8052218b88a8
13909b12622626c
143a186314d6360
15195e9e4cda3d5
hexbff0d6932600

211041113024000 has 160 divisors (see below), whose sum is σ = 601421950299456. Its totient is φ = 72356952883200.

The previous prime is 211041113023987. The next prime is 211041113024029. The reversal of 211041113024000 is 420311140112.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 235088957 + ... + 235984956.

Almost surely, 2211041113024000 is an apocalyptic number.

211041113024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211041113024000 is an abundant number, since it is smaller than the sum of its proper divisors (390380837275456).

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

211041113024000 is an frugal number, since it uses more digits than its factorization.

211041113024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471073953 (or 471073927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211041113024000 its reverse (420311140112), we get a palindrome (211461424164112).

The spelling of 211041113024000 in words is "two hundred eleven trillion, forty-one billion, one hundred thirteen million, twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 640 700 800 875 896 1000 1120 1280 1400 1600 1750 1792 2000 2240 2560 2800 3200 3500 3584 4000 4480 5600 6400 7000 8000 8960 11200 12800 14000 16000 17920 22400 28000 32000 44800 56000 64000 89600 112000 224000 448000 471073913 942147826 1884295652 2355369565 3297517391 3768591304 4710739130 6595034782 7537182608 9421478260 11776847825 13190069564 15074365216 16487586955 18842956520 23553695650 26380139128 30148730432 32975173910 37685913040 47107391300 52760278256 58884239125 60297460864 65950347820 75371826080 82437934775 94214782600 105520556512 117768478250 120594921728 131900695640 150743652160 164875869550 188429565200 211041113024 235536956500 241189843456 263801391280 301487304320 329751739100 376859130400 412189673875 422082226048 471073913000 527602782560 602974608640 659503478200 753718260800 824379347750 844164452096 942147826000 1055205565120 1205949217280 1319006956400 1507436521600 1648758695500 1688328904192 1884295652000 2110411130240 2638013912800 3014873043200 3297517391000 3768591304000 4220822260480 5276027825600 6029746086400 6595034782000 7537182608000 8441644520960 10552055651200 13190069564000 15074365216000 21104111302400 26380139128000 30148730432000 42208222604800 52760278256000 105520556512000 211041113024000