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211230300000 = 25355704101
BaseRepresentation
bin1100010010111001001…
…1101001011101100000
3202012020000002000221110
43010232103221131200
511430044424100000
6241012102223320
721155324632266
oct3045623513540
9665200060843
10211230300000
1181644aa7875
1234b30724b40
1316bc3b7c4c5
14a31b7c0436
155764355850
hex312e4e9760

211230300000 has 144 divisors (see below), whose sum is σ = 693056047824. Its totient is φ = 56328000000.

The previous prime is 211230299981. The next prime is 211230300067. The reversal of 211230300000 is 3032112.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52051 + ... + 652050.

It is an arithmetic number, because the mean of its divisors is an integer number (4812889221).

Almost surely, 2211230300000 is an apocalyptic number.

211230300000 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 211230300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346528023912).

211230300000 is an abundant number, since it is smaller than the sum of its proper divisors (481825747824).

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

211230300000 is an frugal number, since it uses more digits than its factorization.

211230300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704139 (or 704111 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 211230300000 its reverse (3032112), we get a palindrome (211233332112).

The spelling of 211230300000 in words is "two hundred eleven billion, two hundred thirty million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 704101 1408202 2112303 2816404 3520505 4224606 5632808 7041010 8449212 10561515 11265616 14082020 16898424 17602525 21123030 22531232 28164040 33796848 35205050 42246060 52807575 56328080 67593696 70410100 84492120 88012625 105615150 112656160 140820200 168984240 176025250 211230300 264037875 281640400 337968480 352050500 422460600 440063125 528075750 563280800 704101000 844921200 880126250 1056151500 1320189375 1408202000 1689842400 1760252500 2112303000 2200315625 2640378750 2816404000 3520505000 4224606000 4400631250 5280757500 6600946875 7041010000 8449212000 8801262500 10561515000 13201893750 14082020000 17602525000 21123030000 26403787500 35205050000 42246060000 52807575000 70410100000 105615150000 211230300000