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10110200120200 = 23521926571001347
BaseRepresentation
bin1001001100011111011011…
…1000110000001110001000
31022210112012020012101111201
42103013312320300032020
52311121142212321300
633300321204033544
72062303120042465
oct223076670601610
938715166171451
1010110200120200
113248791439424
1211735116928b4
13584506c5233b
1426d49cb2666c
15127ec98ba66a
hex931f6e30388

10110200120200 has 96 divisors (see below), whose sum is σ = 24752721751200. Its totient is φ = 3829787965440.

The previous prime is 10110200120171. The next prime is 10110200120269. The reversal of 10110200120200 is 202100201101.

It is a super-2 number, since 2×101102001202002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 9595927 + ... + 10597273.

It is an arithmetic number, because the mean of its divisors is an integer number (257840851575).

Almost surely, 210110200120200 is an apocalyptic number.

10110200120200 is a gapful number since it is divisible by the number (10) 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 10110200120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376360875600).

10110200120200 is an abundant number, since it is smaller than the sum of its proper divisors (14642521631000).

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

10110200120200 is a wasteful number, since it uses less digits than its factorization.

10110200120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004039 (or 1004030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10110200120200 its reverse (202100201101), we get a palindrome (10312300321301).

The spelling of 10110200120200 in words is "ten trillion, one hundred ten billion, two hundred million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 2657 3800 5314 10628 13285 21256 26570 50483 53140 66425 100966 106280 132850 201932 252415 265700 403864 504830 531400 1001347 1009660 1262075 2002694 2019320 2524150 4005388 5006735 5048300 8010776 10013470 10096600 19025593 20026940 25033675 38051186 40053880 50067350 76102372 95127965 100134700 152204744 190255930 200269400 380511860 475639825 761023720 951279650 1902559300 2660578979 3805118600 5321157958 10642315916 13302894895 21284631832 26605789790 50551000601 53211579580 66514474475 101102001202 106423159160 133028948950 202204002404 252755003005 266057897900 404408004808 505510006010 532115795800 1011020012020 1263775015025 2022040024040 2527550030050 5055100060100 10110200120200