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211200120200 = 23521967829537
BaseRepresentation
bin1100010010110010000…
…0100001010110001000
3202012010220021202001002
43010230200201112020
511430014212321300
6241005103314132
721154510254446
oct3045440412610
9665126252032
10211200120200
1181629a64293
1234b225ab948
1316bba843734
14a3177a5b96
1557618935d5
hex312c821588

211200120200 has 96 divisors (see below), whose sum is σ = 524599831200. Its totient is φ = 78839101440.

The previous prime is 211200120167. The next prime is 211200120221. The reversal of 211200120200 is 2021002112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160169 + ... + 669368.

It is an arithmetic number, because the mean of its divisors is an integer number (5464581575).

Almost surely, 2211200120200 is an apocalyptic number.

211200120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200120200 is an abundant number, since it is smaller than the sum of its proper divisors (313399711000).

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

211200120200 is a wasteful number, since it uses less digits than its factorization.

211200120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829639 (or 829630 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211200120200 its reverse (2021002112), we get a palindrome (213221122312).

The spelling of 211200120200 in words is "two hundred eleven billion, two hundred million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 67 76 95 100 134 152 190 200 268 335 380 475 536 670 760 950 1273 1340 1675 1900 2546 2680 3350 3800 5092 6365 6700 10184 12730 13400 25460 31825 50920 63650 127300 254600 829537 1659074 3318148 4147685 6636296 8295370 15761203 16590740 20738425 31522406 33181480 41476850 55578979 63044812 78806015 82953700 111157958 126089624 157612030 165907400 222315916 277894895 315224060 394030075 444631832 555789790 630448120 788060150 1056000601 1111579580 1389474475 1576120300 2112001202 2223159160 2778948950 3152240600 4224002404 5280003005 5557897900 8448004808 10560006010 11115795800 21120012020 26400015025 42240024040 52800030050 105600060100 211200120200