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211210120000 = 265411480023
BaseRepresentation
bin1100010010110100011…
…0101010101101000000
3202012011121002210012001
43010231012222231000
511430024242320000
6241010101513344
721154661253415
oct3045506525500
9665147083161
10211210120000
1181634674290
1234b25a12854
1316bbc935189
14a318c4a10c
1557626bb46a
hex312d1aab40

211210120000 has 140 divisors (see below), whose sum is σ = 571345685856. Its totient is φ = 76803520000.

The previous prime is 211210119983. The next prime is 211210120021. The reversal of 211210120000 is 21012112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199989 + ... + 680011.

Almost surely, 2211210120000 is an apocalyptic number.

211210120000 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 211210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285672842928).

211210120000 is an abundant number, since it is smaller than the sum of its proper divisors (360135565856).

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

211210120000 is an equidigital number, since it uses as much as digits as its factorization.

211210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480066 (or 480041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211210120000 its reverse (21012112), we get a palindrome (211231132112).

The spelling of 211210120000 in words is "two hundred eleven billion, two hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 480023 960046 1920092 2400115 3840184 4800230 5280253 7680368 9600460 10560506 12000575 15360736 19200920 21121012 24001150 26401265 30721472 38401840 42242024 48002300 52802530 60002875 76803680 84484048 96004600 105605060 120005750 132006325 153607360 168968096 192009200 211210120 240011500 264012650 300014375 337936192 384018400 422420240 480023000 528025300 600028750 660031625 768036800 844840480 960046000 1056050600 1200057500 1320063250 1689680960 1920092000 2112101200 2400115000 2640126500 3300158125 3840184000 4224202400 4800230000 5280253000 6600316250 8448404800 9600460000 10560506000 13200632500 19200920000 21121012000 26401265000 42242024000 52802530000 105605060000 211210120000