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20213211000 = 2335337182101
BaseRepresentation
bin10010110100110011…
…010001111101111000
31221011200201111202110
4102310303101331320
5312344040223000
613141423132320
71313621313213
oct226463217570
957150644673
1020213211000
118632915664
123b014440a0
131ba19091a8
14d9a74677a
157d4834850
hex4b4cd1f78

20213211000 has 128 divisors (see below), whose sum is σ = 64770039360. Its totient is φ = 5244480000.

The previous prime is 20213210981. The next prime is 20213211101. The reversal of 20213211000 is 11231202.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19950 + ... + 202050.

Almost surely, 220213211000 is an apocalyptic number.

20213211000 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 20213211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32385019680).

20213211000 is an abundant number, since it is smaller than the sum of its proper divisors (44556828360).

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

20213211000 is a wasteful number, since it uses less digits than its factorization.

20213211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182162 (or 182148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20213211000 its reverse (11231202), we get a palindrome (20224442202).

The spelling of 20213211000 in words is "twenty billion, two hundred thirteen 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 182101 364202 546303 728404 910505 1092606 1456808 1821010 2185212 2731515 3642020 4370424 4552525 5463030 6737737 7284040 9105050 10926060 13475474 13657575 18210100 20213211 21852120 22762625 26950948 27315150 33688685 36420200 40426422 45525250 53901896 54630300 67377370 68287875 80852844 91050500 101066055 109260600 134754740 136575750 161705688 168443425 182101000 202132110 269509480 273151500 336886850 404264220 505330275 546303000 673773700 808528440 842217125 1010660550 1347547400 1684434250 2021321100 2526651375 3368868500 4042642200 5053302750 6737737000 10106605500 20213211000