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211120200011240 = 235132467164572511
BaseRepresentation
bin110000000000001101000000…
…100001101100110111101000
31000200111220010201210222012222
4300000031000201230313220
5210132443132200324430
62025003140404253212
762316634236655532
oct6000150041546750
91020456121728188
10211120200011240
11612a6635017823
121b8186139a1208
1390a571b159730
143a1c3b4cc8852
151961ac305b9e5
hexc0034086cde8

211120200011240 has 64 divisors (see below), whose sum is σ = 511767849116160. Its totient is φ = 77920475454720.

The previous prime is 211120200011239. The next prime is 211120200011249. The reversal of 211120200011240 is 42110002021112.

It is a super-2 number, since 2×2111202000112402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211120200011249) 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 15 ways as a sum of consecutive naturals, for example, 81003416 + ... + 83569095.

It is an arithmetic number, because the mean of its divisors is an integer number (7996372642440).

Almost surely, 2211120200011240 is an apocalyptic number.

211120200011240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200011240 is an abundant number, since it is smaller than the sum of its proper divisors (300647649104920).

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

211120200011240 is a wasteful number, since it uses less digits than its factorization.

211120200011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164575002 (or 164574998 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211120200011240 its reverse (42110002021112), we get a palindrome (253230202032352).

The spelling of 211120200011240 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2467 4934 9868 12335 19736 24670 32071 49340 64142 98680 128284 160355 256568 320710 641420 1282840 164572511 329145022 658290044 822862555 1316580088 1645725110 2139442643 3291450220 4278885286 6582900440 8557770572 10697213215 17115541144 21394426430 42788852860 85577705720 406000384637 812000769274 1624001538548 2030001923185 3248003077096 4060003846370 5278005000281 8120007692740 10556010000562 16240015385480 21112020001124 26390025001405 42224040002248 52780050002810 105560100005620 211120200011240