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221021200020 = 223517518941759
BaseRepresentation
bin1100110111010111100…
…0111101111010010100
3210010111100101021211010
43031311320331322110
512110122411400040
6245311415212220
721653053126305
oct3156570757224
9703440337733
10221021200020
1185809783985
1236a03677070
1317ac444767a
14a9a9c727ac
155b38bace80
hex3375e3de94

221021200020 has 96 divisors (see below), whose sum is σ = 655404825600. Its totient is φ = 55459969024.

The previous prime is 221021199991. The next prime is 221021200069. The reversal of 221021200020 is 20002120122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221021199969 and 221021200005.

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, 5271901 + ... + 5313659.

It is an arithmetic number, because the mean of its divisors is an integer number (6827133600).

Almost surely, 2221021200020 is an apocalyptic number.

221021200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021200020 is an abundant number, since it is smaller than the sum of its proper divisors (434383625580).

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

221021200020 is a wasteful number, since it uses less digits than its factorization.

221021200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46977 (or 46975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221021200020 its reverse (20002120122), we get a palindrome (241023320142).

The spelling of 221021200020 in words is "two hundred twenty-one billion, twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 5189 10378 15567 20756 25945 31134 41759 51890 62268 77835 83518 88213 103780 125277 155670 167036 176426 208795 250554 264639 311340 352852 417590 441065 501108 529278 626385 709903 835180 882130 1058556 1252770 1323195 1419806 1764260 2129709 2505540 2646390 2839612 3549515 4259418 5292780 7099030 8518836 10648545 14198060 21297090 42594180 216687451 433374902 650062353 866749804 1083437255 1300124706 2166874510 2600249412 3250311765 3683686667 4333749020 6500623530 7367373334 11051060001 13001247060 14734746668 18418433335 22102120002 36836866670 44204240004 55255300005 73673733340 110510600010 221021200020