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200220021211120 = 24527191135381077
BaseRepresentation
bin101101100001100101011011…
…001111011011111111110000
3222020220211212112100122111121
4231201211123033123333300
5202220401100412223440
61545455450303352024
760113263526620441
oct5541453317337760
9866824775318447
10200220021211120
115888391a280819
121a557b93bb2614
1387948894a1431
1437629b4b4d2c8
1518232b006e34a
hexb6195b3dbff0

200220021211120 has 80 divisors (see below), whose sum is σ = 465729518903040. Its totient is φ = 80050514429952.

The previous prime is 200220021211099. The next prime is 200220021211139. The reversal of 200220021211120 is 21112120022002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2002200212111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200220021211094 and 200220021211103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469464022 + ... + 2469545098.

It is an arithmetic number, because the mean of its divisors is an integer number (5821618986288).

Almost surely, 2200220021211120 is an apocalyptic number.

200220021211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200220021211120 is an abundant number, since it is smaller than the sum of its proper divisors (265509497691920).

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

200220021211120 is a wasteful number, since it uses less digits than its factorization.

200220021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95162 (or 95156 counting only the distinct ones).

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

Adding to 200220021211120 its reverse (21112120022002), we get a palindrome (221332141233122).

The spelling of 200220021211120 in words is "two hundred trillion, two hundred twenty billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2719 5438 10876 11353 13595 21752 22706 27190 43504 45412 54380 56765 81077 90824 108760 113530 162154 181648 217520 227060 324308 405385 454120 648616 810770 908240 1297232 1621540 3243080 6486160 30868807 61737614 123475228 154344035 220448363 246950456 308688070 440896726 493900912 617376140 881793452 920467181 1102241815 1234752280 1763586904 1840934362 2204483630 2469504560 3527173808 3681868724 4408967260 4602335905 7363737448 8817934520 9204671810 14727474896 17635869040 18409343620 36818687240 73637374480 2502750265139 5005500530278 10011001060556 12513751325695 20022002121112 25027502651390 40044004242224 50055005302780 100110010605560 200220021211120