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10210001200 = 2452712792851
BaseRepresentation
bin10011000001001000…
…00100000100110000
3222100112220210121121
421200210010010300
5131402230014300
64405043432024
7511004402230
oct114044040460
928315823547
1010210001200
11436a309023
121b8b385614
13c69366a39
146cbdc9cc0
153eb54081a
hex260904130

10210001200 has 120 divisors (see below), whose sum is σ = 28065505280. Its totient is φ = 3496608000.

The previous prime is 10210001183. The next prime is 10210001201. The reversal of 10210001200 is 210001201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10210001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3579775 + ... + 3582625.

Almost surely, 210210001200 is an apocalyptic number.

10210001200 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 10210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14032752640).

10210001200 is an abundant number, since it is smaller than the sum of its proper divisors (17855504080).

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

10210001200 is a wasteful number, since it uses less digits than its factorization.

10210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10210001200 its reverse (210001201), we get a palindrome (10420002401).

Subtracting from 10210001200 its reverse (210001201), we obtain a palindrome (9999999999).

The spelling of 10210001200 in words is "ten billion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1279 1400 2558 2800 2851 5116 5702 6395 8953 10232 11404 12790 14255 17906 19957 20464 22808 25580 28510 31975 35812 39914 44765 45616 51160 57020 63950 71275 71624 79828 89530 99785 102320 114040 127900 142550 143248 159656 179060 199570 223825 228080 255800 285100 319312 358120 399140 447650 498925 511600 570200 716240 798280 895300 997850 1140400 1596560 1790600 1995700 3581200 3646429 3991400 7292858 7982800 14585716 18232145 25525003 29171432 36464290 51050006 58342864 72928580 91160725 102100012 127625015 145857160 182321450 204200024 255250030 291714320 364642900 408400048 510500060 638125075 729285800 1021000120 1276250150 1458571600 2042000240 2552500300 5105000600 10210001200