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200110112010 = 23452935324133
BaseRepresentation
bin1011101001011101111…
…1011111110100001010
3201010112000110221210000
42322113133133310022
511234311142041020
6231532422103430
720312625613164
oct2722737376412
9633460427700
10200110112010
1177958a39a66
123294857ab76
1315b41093503
149984985934
155312e75090
hex2e977dfd0a

200110112010 has 160 divisors (see below), whose sum is σ = 558228108240. Its totient is φ = 51374518272.

The previous prime is 200110111997. The next prime is 200110112051. The reversal of 200110112010 is 10211011002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74183782689 + 125926329321 = 272367^2 + 354861^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200110111983 and 200110112001.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8279904 + ... + 8304036.

Almost surely, 2200110112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200110112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279114054120).

200110112010 is an abundant number, since it is smaller than the sum of its proper divisors (358117996230).

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

200110112010 is a wasteful number, since it uses less digits than its factorization.

200110112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24534 (or 24525 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200110112010 its reverse (10211011002), we get a palindrome (210321123012).

The spelling of 200110112010 in words is "two hundred billion, one hundred ten million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 353 405 435 522 706 783 810 870 1059 1305 1566 1765 2118 2349 2610 3177 3530 3915 4698 5295 6354 7830 9531 10237 10590 11745 15885 19062 20474 23490 24133 28593 30711 31770 47655 48266 51185 57186 61422 72399 92133 95310 102370 120665 142965 144798 153555 184266 217197 241330 276399 285930 307110 361995 434394 460665 552798 651591 699857 723990 829197 921330 1085985 1303182 1381995 1399714 1658394 1954773 2099571 2171970 2763990 3257955 3499285 3909546 4145985 4199142 6298713 6515910 6998570 8291970 8518949 9773865 10497855 12597426 17037898 18896139 19547730 20995710 25556847 31493565 37792278 42594745 51113694 56688417 62987130 76670541 85189490 94480695 113376834 127784235 153341082 188961390 230011623 247049521 255568470 283442085 383352705 460023246 494099042 566884170 690034869 741148563 766705410 1150058115 1235247605 1380069738 1482297126 2223445689 2300116230 2470495210 3450174345 3705742815 4446891378 6670337067 6900348690 7411485630 11117228445 13340674134 20011011201 22234456890 33351685335 40022022402 66703370670 100055056005 200110112010