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210011120000 = 275411238649
BaseRepresentation
bin1100001110010110100…
…0110110000110000000
3202002002000222021101122
43003211220312012000
511420100321320000
6240251111051412
721113162031533
oct3034550660600
9662060867348
10210011120000
11810798908a0
1234850370b68
1316a5b400c16
14a2438daa1a
1556e22cc085
hex30e5a36180

210011120000 has 160 divisors (see below), whose sum is σ = 570340089000. Its totient is φ = 76367360000.

The previous prime is 210011119991. The next prime is 210011120057. The reversal of 210011120000 is 21110012.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 210011120000.

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, 760676 + ... + 999324.

Almost surely, 2210011120000 is an apocalyptic number.

210011120000 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 210011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285170044500).

210011120000 is an abundant number, since it is smaller than the sum of its proper divisors (360328969000).

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

210011120000 is an equidigital number, since it uses as much as digits as its factorization.

210011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238694 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210011120000 its reverse (21110012), we get a palindrome (210032230012).

The spelling of 210011120000 in words is "two hundred ten billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 238649 440000 477298 880000 954596 1193245 1909192 2386490 2625139 3818384 4772980 5250278 5966225 7636768 9545960 10500556 11932450 13125695 15273536 19091920 21001112 23864900 26251390 29831125 30547072 38183840 42002224 47729800 52502780 59662250 65628475 76367680 84004448 95459600 105005560 119324500 131256950 149155625 152735360 168008896 190919200 210011120 238649000 262513900 298311250 328142375 336017792 381838400 420022240 477298000 525027800 596622500 656284750 763676800 840044480 954596000 1050055600 1193245000 1312569500 1640711875 1680088960 1909192000 2100111200 2386490000 2625139000 3281423750 3818384000 4200222400 4772980000 5250278000 6562847500 8400444800 9545960000 10500556000 13125695000 19091920000 21001112000 26251390000 42002224000 52502780000 105005560000 210011120000