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20012111200 = 2552294718353
BaseRepresentation
bin10010101000110100…
…001001010101100000
31220122200022120200201
4102220310021111200
5311441100024300
613105440554544
71305630065344
oct225064112540
956580276621
1020012111200
11853a351384
123a66022a54
131b6c058423
14d7bb59624
157c1d5e66a
hex4a8d09560

20012111200 has 144 divisors (see below), whose sum is σ = 51617321280. Its totient is φ = 7563960320.

The previous prime is 20012111183. The next prime is 20012111201. The reversal of 20012111200 is 211121002.

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 (20012111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081224 + ... + 1099576.

It is an arithmetic number, because the mean of its divisors is an integer number (358453620).

Almost surely, 220012111200 is an apocalyptic number.

20012111200 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 20012111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808660640).

20012111200 is an abundant number, since it is smaller than the sum of its proper divisors (31605210080).

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

20012111200 is a wasteful number, since it uses less digits than its factorization.

20012111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18449 (or 18436 counting only the distinct ones).

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

Adding to 20012111200 its reverse (211121002), we get a palindrome (20223232202).

The spelling of 20012111200 in words is "twenty billion, twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 47 50 58 80 94 100 116 145 160 188 200 232 235 290 376 400 464 470 580 725 752 800 928 940 1160 1175 1363 1450 1504 1880 2320 2350 2726 2900 3760 4640 4700 5452 5800 6815 7520 9400 10904 11600 13630 18353 18800 21808 23200 27260 34075 36706 37600 43616 54520 68150 73412 91765 109040 136300 146824 183530 218080 272600 293648 367060 458825 532237 545200 587296 734120 862591 917650 1064474 1090400 1468240 1725182 1835300 2128948 2661185 2936480 3450364 3670600 4257896 4312955 5322370 6900728 7341200 8515792 8625910 10644740 13305925 13801456 14682400 17031584 17251820 21289480 21564775 25015139 26611850 27602912 34503640 42578960 43129550 50030278 53223700 69007280 85157920 86259100 100060556 106447400 125075695 138014560 172518200 200121112 212894800 250151390 345036400 400242224 425789600 500302780 625378475 690072800 800484448 1000605560 1250756950 2001211120 2501513900 4002422240 5003027800 10006055600 20012111200