Search a number
-
+
201222221121020 = 2251110111380140757
BaseRepresentation
bin101101110000001010110011…
…000000101100010111111100
3222101110122201120022002001002
4231300022303000230113330
5202333311102101333040
61551544113501505432
760245553136402121
oct5560126300542774
9871418646262032
10201222221121020
115912a956a74570
121a69a26a872278
1388382354695b8
1437992c940c748
15183e3b99d5a15
hexb702b302c5fc

201222221121020 has 96 divisors (see below), whose sum is σ = 469665873948096. Its totient is φ = 71806117376000.

The previous prime is 201222221121001. The next prime is 201222221121041. The reversal of 201222221121020 is 20121122222102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201222221120983 and 201222221121001.

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 31 ways as a sum of consecutive naturals, for example, 37559519 + ... + 42581238.

It is an arithmetic number, because the mean of its divisors is an integer number (4892352853626).

Almost surely, 2201222221121020 is an apocalyptic number.

201222221121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222221121020 is an abundant number, since it is smaller than the sum of its proper divisors (268443652827076).

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

201222221121020 is a wasteful number, since it uses less digits than its factorization.

201222221121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80140991 (or 80140989 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201222221121020 its reverse (20121122222102), we get a palindrome (221343343343122).

The spelling of 201222221121020 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 113 202 220 226 404 452 505 565 1010 1111 1130 1243 2020 2222 2260 2486 4444 4972 5555 6215 11110 11413 12430 22220 22826 24860 45652 57065 114130 125543 228260 251086 502172 627715 1255430 2510860 80140757 160281514 320563028 400703785 801407570 881548327 1602815140 1763096654 3526193308 4407741635 8094216457 8815483270 9055905541 16188432914 17630966540 18111811082 32376865828 36223622164 40471082285 45279527705 80942164570 89036381027 90559055410 99614960951 161884329140 178072762054 181118110820 199229921902 356145524108 398459843804 445181905135 498074804755 890363810270 914646459641 996149609510 1780727620540 1829292919282 1992299219020 3658585838564 4573232298205 9146464596410 10061111056051 18292929192820 20122222112102 40244444224204 50305555280255 100611110560510 201222221121020