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212101111000 = 23531012100011
BaseRepresentation
bin1100010110001000110…
…1100001110011011000
3202021110200122211001201
43011202031201303120
511433340341023000
6241234330523544
721216030461002
oct3054215416330
9667420584051
10212101111000
1181a51602a89
12351342965b4
13170023c609c
14a3a12dd372
1557b5a1896a
hex3162361cd8

212101111000 has 64 divisors (see below), whose sum is σ = 501230864160. Its totient is φ = 84000400000.

The previous prime is 212101110979. The next prime is 212101111003. The reversal of 212101111000 is 111101212.

212101111000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101111003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 949006 + ... + 1151005.

Almost surely, 2212101111000 is an apocalyptic number.

212101111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101111000 is an abundant number, since it is smaller than the sum of its proper divisors (289129753160).

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

212101111000 is a wasteful number, since it uses less digits than its factorization.

212101111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100133 (or 2100119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212101111000 its reverse (111101212), we get a palindrome (212212212212).

The spelling of 212101111000 in words is "two hundred twelve billion, one hundred one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 2100011 4200022 8400044 10500055 16800088 21000110 42000220 52500275 84000440 105000550 210001100 212101111 262501375 420002200 424202222 525002750 848404444 1050005500 1060505555 1696808888 2100011000 2121011110 4242022220 5302527775 8484044440 10605055550 21210111100 26512638875 42420222200 53025277750 106050555500 212101111000