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2002100200 = 2352171913083
BaseRepresentation
bin111011101010101…
…1001111111101000
312011112022020011021
41313111121333220
513100014201300
6530355542224
7100420366552
oct16725317750
95145266137
102002100200
11938151571
1247a5ba974
1325ba31299
1414dc844d2
15bab79d1a
hex77559fe8

2002100200 has 96 divisors (see below), whose sum is σ = 4956111360. Its totient is φ = 749542400.

The previous prime is 2002100099. The next prime is 2002100201. The reversal of 2002100200 is 20012002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2002100201) 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, 647859 + ... + 650941.

It is an arithmetic number, because the mean of its divisors is an integer number (51626160).

Almost surely, 22002100200 is an apocalyptic number.

2002100200 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 2002100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478055680).

2002100200 is an abundant number, since it is smaller than the sum of its proper divisors (2954011160).

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

2002100200 is a wasteful number, since it uses less digits than its factorization.

2002100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2002100200 is about 44744.8343387256. The cubic root of 2002100200 is about 1260.3619099800.

Adding to 2002100200 its reverse (20012002), we get a palindrome (2022112202).

The spelling of 2002100200 in words is "two billion, two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 191 200 340 382 425 680 764 850 955 1528 1700 1910 3083 3247 3400 3820 4775 6166 6494 7640 9550 12332 12988 15415 16235 19100 24664 25976 30830 32470 38200 52411 61660 64940 77075 81175 104822 123320 129880 154150 162350 209644 262055 308300 324700 419288 524110 588853 616600 649400 1048220 1177706 1310275 2096440 2355412 2620550 2944265 4710824 5241100 5888530 10010501 10482200 11777060 14721325 20021002 23554120 29442650 40042004 50052505 58885300 80084008 100105010 117770600 200210020 250262525 400420040 500525050 1001050100 2002100200