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200100121220 = 2252931105110589
BaseRepresentation
bin1011101001011011100…
…1011000101010000100
3201010111022200100222202
42322112321120222010
511234301112334340
6231531424014032
720312444652416
oct2722671305204
9633438610882
10200100121220
117795333580a
1232945161318
1315b3bca5bbc
1499835049b6
15531214ec15
hex2e96e58a84

200100121220 has 96 divisors (see below), whose sum is σ = 449192217600. Its totient is φ = 74708928000.

The previous prime is 200100121211. The next prime is 200100121337. The reversal of 200100121220 is 22121001002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18891686 + ... + 18902274.

It is an arithmetic number, because the mean of its divisors is an integer number (4679085600).

Almost surely, 2200100121220 is an apocalyptic number.

200100121220 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 200100121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224596108800).

200100121220 is an abundant number, since it is smaller than the sum of its proper divisors (249092096380).

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

200100121220 is a wasteful number, since it uses less digits than its factorization.

200100121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11709 (or 11707 counting only the distinct ones).

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

Adding to 200100121220 its reverse (22121001002), we get a palindrome (222221122222).

The spelling of 200100121220 in words is "two hundred billion, one hundred million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1051 1798 2102 3596 4204 4495 5255 8990 10510 10589 17980 21020 21178 30479 32581 42356 52945 60958 65162 105890 121916 130324 152395 162905 211780 304790 307081 325810 328259 609580 614162 651620 656518 944849 1228324 1313036 1535405 1641295 1889698 3070810 3282590 3779396 4724245 6141620 6565180 9448490 9519511 11129039 18896980 19039022 22258078 38078044 44516156 47597555 55645195 95195110 111290390 190390220 222580780 322742131 345000209 645484262 690000418 1290968524 1380000836 1613710655 1725001045 3227421310 3450002090 6454842620 6900004180 10005006061 20010012122 40020024244 50025030305 100050060610 200100121220