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211103212200 = 233521667211061
BaseRepresentation
bin1100010010011010111…
…0110110001010101000
3202011220010221022020220
43010212232312022220
511424314410242300
6240551322250040
721152222461026
oct3044656661250
9664803838226
10211103212200
118158a294931
1234ab6056920
1316ba374341a
14a30897b716
1557580eeda0
hex3126bb62a8

211103212200 has 96 divisors (see below), whose sum is σ = 654815633760. Its totient is φ = 56260153600.

The previous prime is 211103212181. The next prime is 211103212261. The reversal of 211103212200 is 2212301112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211103212200.

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, 894670 + ... + 1105730.

It is an arithmetic number, because the mean of its divisors is an integer number (6820996185).

Almost surely, 2211103212200 is an apocalyptic number.

211103212200 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 211103212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327407816880).

211103212200 is an abundant number, since it is smaller than the sum of its proper divisors (443712421560).

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

211103212200 is a wasteful number, since it uses less digits than its factorization.

211103212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212747 (or 212738 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211103212200 its reverse (2212301112), we get a palindrome (213315513312).

The spelling of 211103212200 in words is "two hundred eleven billion, one hundred three million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1667 3334 5001 6668 8335 10002 13336 16670 20004 25005 33340 40008 41675 50010 66680 83350 100020 125025 166700 200040 211061 250050 333400 422122 500100 633183 844244 1000200 1055305 1266366 1688488 2110610 2532732 3165915 4221220 5065464 5276525 6331830 8442440 10553050 12663660 15829575 21106100 25327320 31659150 42212200 63318300 126636600 351838687 703677374 1055516061 1407354748 1759193435 2111032122 2814709496 3518386870 4222064244 5277580305 7036773740 8444128488 8795967175 10555160610 14073547480 17591934350 21110321220 26387901525 35183868700 42220642440 52775803050 70367737400 105551606100 211103212200