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221021323020 = 223252353386793
BaseRepresentation
bin1100110111010111100…
…1011011111100001100
3210010111100121112112200
43031311321123330030
512110122424314040
6245311422001500
721653054151021
oct3156571337414
9703440545480
10221021323020
1185809858333
1236a03716290
1317ac448b654
14a9a9ca5548
155b38bd4630
hex3375e5bf0c

221021323020 has 72 divisors (see below), whose sum is σ = 699580548576. Its totient is φ = 56376452352.

The previous prime is 221021322989. The next prime is 221021323037. The reversal of 221021323020 is 20323120122.

221021323020 is a `hidden beast` number, since 221 + 0 + 213 + 230 + 2 + 0 = 666.

It is a super-2 number, since 2×2210213230202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221021322984 and 221021323002.

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 23 ways as a sum of consecutive naturals, for example, 26689257 + ... + 26697536.

It is an arithmetic number, because the mean of its divisors is an integer number (9716396508).

Almost surely, 2221021323020 is an apocalyptic number.

221021323020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021323020 is an abundant number, since it is smaller than the sum of its proper divisors (478559225556).

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

221021323020 is a wasteful number, since it uses less digits than its factorization.

221021323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53386831 (or 53386826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221021323020 its reverse (20323120122), we get a palindrome (241344443142).

The spelling of 221021323020 in words is "two hundred twenty-one billion, twenty-one million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 53386793 106773586 160160379 213547172 266933965 320320758 480481137 533867930 640641516 800801895 960962274 1067735860 1227896239 1601603790 1921924548 2402405685 2455792478 3203207580 3683688717 4804811370 4911584956 6139481195 7367377434 9609622740 11051066151 12278962390 14734754868 18418443585 22102132302 24557924780 36836887170 44204264604 55255330755 73673774340 110510661510 221021323020