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211000200120 = 233254712470461
BaseRepresentation
bin1100010010000010010…
…1111000101110111000
3202011121222002202020200
43010200211320232320
511424112022400440
6240533202322200
721146532052203
oct3044045705670
9664558082220
10211000200120
1181537126386
1234a87659360
1316b882b6928
14a2d900493a
15574e052c30
hex3120978bb8

211000200120 has 96 divisors (see below), whose sum is σ = 700341145920. Its totient is φ = 55069551360.

The previous prime is 211000200097. The next prime is 211000200121. The reversal of 211000200120 is 21002000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6218311 + ... + 6252150.

It is an arithmetic number, because the mean of its divisors is an integer number (7295220270).

Almost surely, 2211000200120 is an apocalyptic number.

211000200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000200120 is an abundant number, since it is smaller than the sum of its proper divisors (489340945800).

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

211000200120 is a wasteful number, since it uses less digits than its factorization.

211000200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470525 (or 12470518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211000200120 its reverse (21002000112), we get a palindrome (232002200232).

The spelling of 211000200120 in words is "two hundred eleven billion, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 12470461 24940922 37411383 49881844 62352305 74822766 99763688 112234149 124704610 149645532 187056915 224468298 249409220 299291064 374113830 448936596 498818440 561170745 586111667 748227660 897873192 1122341490 1172223334 1496455320 1758335001 2244682980 2344446668 2930558335 3516670002 4489365960 4688893336 5275005003 5861116670 7033340004 8791675005 10550010006 11722233340 14066680008 17583350010 21100020012 23444466680 26375025015 35166700020 42200040024 52750050030 70333400040 105500100060 211000200120