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201112002022120 = 23572432386236379
BaseRepresentation
bin101101101110100100001001…
…011100001100101011101000
3222101002010020012121201110221
4231232210021130030223220
5202330004340004201440
61551421324524015424
760234601614460300
oct5556441134145350
9871063205551427
10201112002022120
1159098137187192
121a680a2a691574
13882aa1b759197
143793c310b4600
15183b5b855ed4a
hexb6e90970cae8

201112002022120 has 96 divisors (see below), whose sum is σ = 538621275693600. Its totient is φ = 67349135532672.

The previous prime is 201112002022097. The next prime is 201112002022123. The reversal of 201112002022120 is 21220200211102.

It is a happy number.

201112002022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201112002022094 and 201112002022103.

It is not an unprimeable number, because it can be changed into a prime (201112002022123) by changing a digit.

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, 1193033910 + ... + 1193202469.

It is an arithmetic number, because the mean of its divisors is an integer number (5610638288475).

Almost surely, 2201112002022120 is an apocalyptic number.

201112002022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112002022120 is an abundant number, since it is smaller than the sum of its proper divisors (337509273671480).

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

201112002022120 is a wasteful number, since it uses less digits than its factorization.

201112002022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386236447 (or 2386236436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201112002022120 its reverse (21220200211102), we get a palindrome (222332202233222).

The spelling of 201112002022120 in words is "two hundred one trillion, one hundred twelve billion, two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 602 860 980 1204 1505 1720 1960 2107 2408 3010 4214 6020 8428 10535 12040 16856 21070 42140 84280 2386236379 4772472758 9544945516 11931181895 16703654653 19089891032 23862363790 33407309306 47724727580 66814618612 83518273265 95449455160 102608164297 116925582571 133629237224 167036546530 205216328594 233851165142 334073093060 410432657188 467702330284 513040821485 584627912855 668146186120 718257150079 820865314376 935404660568 1026081642970 1169255825710 1436514300158 2052163285940 2338511651420 2873028600316 3591285750395 4104326571880 4677023302840 5027800050553 5746057200632 7182571500790 10055600101106 14365143001580 20111200202212 25139000252765 28730286003160 40222400404424 50278000505530 100556001011060 201112002022120