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200212211012220 = 2232511101117278289
BaseRepresentation
bin101101100001011110001001…
…101101111001001001111100
3222020220002201020002102202200
4231201132021231321021330
5202220234102004342340
61545452115303551500
760112566142206321
oct5541361155711174
9866802636072680
10200212211012220
115888058165a790
121a55657445b590
138793c13384374
143762473770b48
151822ea4566330
hexb61789b7927c

200212211012220 has 72 divisors (see below), whose sum is σ = 662520407356080. Its totient is φ = 48536293578240.

The previous prime is 200212211012201. The next prime is 200212211012239. The reversal of 200212211012220 is 22210112212002.

It is a happy number.

200212211012220 is a `hidden beast` number, since 20 + 0 + 212 + 211 + 0 + 1 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (200212211012201) and next prime (200212211012239).

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 = 200212211012193 and 200212211012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50558637165 + ... + 50558641124.

It is an arithmetic number, because the mean of its divisors is an integer number (9201672324390).

Almost surely, 2200212211012220 is an apocalyptic number.

200212211012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212211012220 is an abundant number, since it is smaller than the sum of its proper divisors (462308196343860).

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

200212211012220 is a wasteful number, since it uses less digits than its factorization.

200212211012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101117278315 (or 101117278310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212211012220 its reverse (22210112212002), we get a palindrome (222422323224222).

The spelling of 200212211012220 in words is "two hundred trillion, two hundred twelve billion, two hundred eleven million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 101117278289 202234556578 303351834867 404469113156 505586391445 606703669734 910055504601 1011172782890 1112290061179 1213407339468 1516759174335 1820111009202 2022345565780 2224580122358 3033518348670 3336870183537 3640222018404 4449160244716 4550277523005 5561450305895 6067036697340 6673740367074 9100555046010 10010610550611 11122900611790 13347480734148 16684350917685 18201110092020 20021221101222 22245801223580 33368701835370 40042442202444 50053052753055 66737403670740 100106105506110 200212211012220