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10110012200 = 23521714891997
BaseRepresentation
bin10010110101001101…
…01000101100101000
3222002120202211111022
421122212220230220
5131201130342300
64351112352012
7505351454141
oct113246505450
928076684438
1010110012200
114318924892
121b619a5608
13c51728252
146bc9dcac8
153e288e285
hex25a9a8b28

10110012200 has 96 divisors (see below), whose sum is σ = 24917657400. Its totient is φ = 3801661440.

The previous prime is 10110012179. The next prime is 10110012229. The reversal of 10110012200 is 221001101.

It can be written as a sum of positive squares in 12 ways, for example, as 45508516 + 10064503684 = 6746^2 + 100322^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 5061602 + ... + 5063598.

Almost surely, 210110012200 is an apocalyptic number.

10110012200 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 10110012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458828700).

10110012200 is an abundant number, since it is smaller than the sum of its proper divisors (14807645200).

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

10110012200 is a wasteful number, since it uses less digits than its factorization.

10110012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10110012200 its reverse (221001101), we get a palindrome (10331013301).

The spelling of 10110012200 in words is "ten billion, one hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1489 1700 1997 2978 3400 3994 5956 7445 7988 9985 11912 14890 15976 19970 25313 29780 33949 37225 39940 49925 50626 59560 67898 74450 79880 99850 101252 126565 135796 148900 169745 199700 202504 253130 271592 297800 339490 399400 506260 632825 678980 848725 1012520 1265650 1357960 1697450 2531300 2973533 3394900 5062600 5947066 6789800 11894132 14867665 23788264 29735330 50550061 59470660 74338325 101100122 118941320 148676650 202200244 252750305 297353300 404400488 505500610 594706600 1011001220 1263751525 2022002440 2527503050 5055006100 10110012200