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2101212200 = 235243263929
BaseRepresentation
bin111110100111101…
…1111010000101000
312102102210122021002
41331033133100220
513300402242300
6544300134132
7103033003043
oct17517372050
95372718232
102101212200
1198909690a
124a7837348
13276423839
1415d0c3c5a
15c47065d5
hex7d3df428

2101212200 has 96 divisors (see below), whose sum is σ = 5023339200. Its totient is φ = 816936960.

The previous prime is 2101212143. The next prime is 2101212229. The reversal of 2101212200 is 22121012.

It is a happy number.

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, 2261336 + ... + 2262264.

It is an arithmetic number, because the mean of its divisors is an integer number (52326450).

Almost surely, 22101212200 is an apocalyptic number.

2101212200 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 2101212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511669600).

2101212200 is an abundant number, since it is smaller than the sum of its proper divisors (2922127000).

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

2101212200 is a wasteful number, since it uses less digits than its factorization.

2101212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2101212200 is about 45838.9812277716. The cubic root of 2101212200 is about 1280.8255172849.

Adding to 2101212200 its reverse (22121012), we get a palindrome (2123333212).

The spelling of 2101212200 in words is "two billion, one hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 263 344 430 526 860 929 1052 1075 1315 1720 1858 2104 2150 2630 3716 4300 4645 5260 6575 7432 8600 9290 10520 11309 13150 18580 22618 23225 26300 37160 39947 45236 46450 52600 56545 79894 90472 92900 113090 159788 185800 199735 226180 244327 282725 319576 399470 452360 488654 565450 798940 977308 998675 1130900 1221635 1597880 1954616 1997350 2261800 2443270 3994700 4886540 6108175 7989400 9773080 10506061 12216350 21012122 24432700 42024244 48865400 52530305 84048488 105060610 210121220 262651525 420242440 525303050 1050606100 2101212200