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211122012200 = 235211128374797
BaseRepresentation
bin1100010010011111011…
…0100100000000101000
3202011221110022110000012
43010213312210000220
511424334213342300
6240553233231052
721152541331361
oct3044766440050
9664843273005
10211122012200
1181599965620
1234b00402488
1316ba75c6598
14a30b272b68
155759ab5435
hex3127da4028

211122012200 has 96 divisors (see below), whose sum is σ = 535906726560. Its totient is φ = 76710777600.

The previous prime is 211122012163. The next prime is 211122012239. The reversal of 211122012200 is 2210221112.

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, 2785202 + ... + 2859998.

It is an arithmetic number, because the mean of its divisors is an integer number (5582361735).

Almost surely, 2211122012200 is an apocalyptic number.

211122012200 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 211122012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267953363280).

211122012200 is an abundant number, since it is smaller than the sum of its proper divisors (324784714360).

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

211122012200 is a wasteful number, since it uses less digits than its factorization.

211122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76107 (or 76098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211122012200 its reverse (2210221112), we get a palindrome (213332233312).

The spelling of 211122012200 in words is "two hundred eleven billion, one hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1283 2200 2566 5132 6415 10264 12830 14113 25660 28226 32075 51320 56452 64150 70565 74797 112904 128300 141130 149594 256600 282260 299188 352825 373985 564520 598376 705650 747970 822767 1411300 1495940 1645534 1869925 2822600 2991880 3291068 3739850 4113835 6582136 7479700 8227670 14959400 16455340 20569175 32910680 41138350 82276700 95964551 164553400 191929102 383858204 479822755 767716408 959645510 1055610061 1919291020 2111220122 2399113775 3838582040 4222440244 4798227550 5278050305 8444880488 9596455100 10556100610 19192910200 21112201220 26390251525 42224402440 52780503050 105561006100 211122012200