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200011221020 = 225137346122859
BaseRepresentation
bin1011101001000110011…
…0010000100000011100
3201010021010101202211202
42322101212100200130
511234110333033040
6231514530335032
720310315220232
oct2722146204034
9633233352752
10200011221020
1177908135776
123291b42a478
1315b2674a730
1499757a2952
15530943e015
hex2e9199081c

200011221020 has 96 divisors (see below), whose sum is σ = 459544155840. Its totient is φ = 72677468160.

The previous prime is 200011221013. The next prime is 200011221023. The reversal of 200011221020 is 20122110002.

It is a happy number.

It is a super-2 number, since 2×2000112210202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200011220992 and 200011221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200011221023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8738351 + ... + 8761209.

It is an arithmetic number, because the mean of its divisors is an integer number (4786918290).

Almost surely, 2200011221020 is an apocalyptic number.

200011221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200011221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229772077920).

200011221020 is an abundant number, since it is smaller than the sum of its proper divisors (259532934820).

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

200011221020 is a wasteful number, since it uses less digits than its factorization.

200011221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23415 (or 23413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200011221020 its reverse (20122110002), we get a palindrome (220133331022).

The spelling of 200011221020 in words is "two hundred billion, eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 461 730 922 949 1460 1844 1898 2305 3796 4610 4745 5993 9220 9490 11986 18980 22859 23972 29965 33653 45718 59930 67306 91436 114295 119860 134612 168265 228590 297167 336530 437489 457180 594334 673060 874978 1188668 1485835 1668707 1749956 2187445 2971670 3337414 4374890 5943340 6674828 8343535 8749780 10537999 16687070 21075998 21693191 33374140 42151996 43386382 52689995 86772764 105379990 108465955 136993987 210759980 216931910 273987974 433863820 547975948 684969935 769273927 1369939870 1538547854 2739879740 3077095708 3846369635 7692739270 10000561051 15385478540 20001122102 40002244204 50002805255 100005610510 200011221020