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212021211000 = 23353371910101
BaseRepresentation
bin1100010101110101110…
…0101110111101111000
3202021021010022110212110
43011131130232331320
511433204412223000
6241222354212320
721214040362254
oct3053534567570
9667233273773
10212021211000
1181a1049aa25
12351115840a0
1316cbb99c391
14a394861264
1557ad9d4850
hex315d72ef78

212021211000 has 128 divisors (see below), whose sum is σ = 679385079360. Its totient is φ = 55010880000.

The previous prime is 212021210953. The next prime is 212021211019. The reversal of 212021211000 is 112120212.

212021211000 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844051 + ... + 1066050.

Almost surely, 2212021211000 is an apocalyptic number.

212021211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021211000 is an abundant number, since it is smaller than the sum of its proper divisors (467363868360).

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

212021211000 is a wasteful number, since it uses less digits than its factorization.

212021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910162 (or 1910148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212021211000 its reverse (112120212), we get a palindrome (212133331212).

The spelling of 212021211000 in words is "two hundred twelve billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 1910101 3820202 5730303 7640404 9550505 11460606 15280808 19101010 22921212 28651515 38202020 45842424 47752525 57303030 70673737 76404040 95505050 114606060 141347474 143257575 191010100 212021211 229212120 238762625 282694948 286515150 353368685 382020200 424042422 477525250 565389896 573030300 706737370 716287875 848084844 955050500 1060106055 1146060600 1413474740 1432575750 1696169688 1766843425 1910101000 2120212110 2826949480 2865151500 3533686850 4240424220 5300530275 5730303000 7067373700 8480848440 8834217125 10601060550 14134747400 17668434250 21202121100 26502651375 35336868500 42404242200 53005302750 70673737000 106010605500 212021211000