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212011303200 = 2535288338043
BaseRepresentation
bin1100010101110011011…
…0111100000100100000
3202021020102200002220220
43011130312330010200
511433144343200300
6241221402003040
721213560225454
oct3053466740440
9667212602826
10212011303200
1181a05943064
123510a1a6480
1316cb9910788
14a393402664
1557acbc8da0
hex315cdbc120

212011303200 has 72 divisors (see below), whose sum is σ = 690096799728. Its totient is φ = 56536346880.

The previous prime is 212011303169. The next prime is 212011303213. The reversal of 212011303200 is 2303110212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011303200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44166622 + ... + 44171421.

It is an arithmetic number, because the mean of its divisors is an integer number (9584677774).

Almost surely, 2212011303200 is an apocalyptic number.

212011303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011303200 is an abundant number, since it is smaller than the sum of its proper divisors (478085496528).

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

212011303200 is a wasteful number, since it uses less digits than its factorization.

212011303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88338066 (or 88338053 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212011303200 its reverse (2303110212), we get a palindrome (214314413412).

The spelling of 212011303200 in words is "two hundred twelve billion, eleven million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 88338043 176676086 265014129 353352172 441690215 530028258 706704344 883380430 1060056516 1325070645 1413408688 1766760860 2120113032 2208451075 2650141290 2826817376 3533521720 4240226064 4416902150 5300282580 6625353225 7067043440 8480452128 8833804300 10600565160 13250706450 14134086880 17667608600 21201130320 26501412900 35335217200 42402260640 53002825800 70670434400 106005651600 212011303200