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211011112000200 = 233522811251548707
BaseRepresentation
bin101111111110100111011010…
…010111111101101011001000
31000200010110120012110211111210
4233332213122113331223020
5210124201224133001300
62024441055553453120
762306023031116161
oct5776473227755310
91020113505424453
10211011112000200
11612643457484a6
121b7bb44a5711a0
139098354893185
143a16dc6ca2768
15195dd3b05d050
hexbfe9da5fdac8

211011112000200 has 96 divisors (see below), whose sum is σ = 656462328320160. Its totient is φ = 56069382028800.

The previous prime is 211011112000187. The next prime is 211011112000207. The reversal of 211011112000200 is 2000211110112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211011112000207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625605754 + ... + 625942953.

It is an arithmetic number, because the mean of its divisors is an integer number (6838149253335).

Almost surely, 2211011112000200 is an apocalyptic number.

211011112000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011112000200 is an abundant number, since it is smaller than the sum of its proper divisors (445451216319960).

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

211011112000200 is a wasteful number, since it uses less digits than its factorization.

211011112000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251549007 (or 1251548998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211011112000200 its reverse (2000211110112), we get a palindrome (213011323110312).

The spelling of 211011112000200 in words is "two hundred eleven trillion, eleven billion, one hundred twelve million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 281 300 562 600 843 1124 1405 1686 2248 2810 3372 4215 5620 6744 7025 8430 11240 14050 16860 21075 28100 33720 42150 56200 84300 168600 1251548707 2503097414 3754646121 5006194828 6257743535 7509292242 10012389656 12515487070 15018584484 18773230605 25030974140 30037168968 31288717675 37546461210 50061948280 62577435350 75092922420 93866153025 125154870700 150185844840 187732306050 250309741400 351685186667 375464612100 703370373334 750929224200 1055055560001 1406740746668 1758425933335 2110111120002 2813481493336 3516851866670 4220222240004 5275277800005 7033703733340 8440444480008 8792129666675 10550555600010 14067407466680 17584259333350 21101111200020 26376389000025 35168518666700 42202222400040 52752778000050 70337037333400 105505556000100 211011112000200