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200012110100 = 2252112316214877
BaseRepresentation
bin1011101001000110100…
…1101001100100010100
3201010021012001221102122
42322101221221210110
511234111100010400
6231515001355112
720310325612265
oct2722151514424
9633235057378
10200012110100
1177908692750
123291b798a98
1315b2699c30a
14997595496c
155309567685
hex2e91a69914

200012110100 has 144 divisors (see below), whose sum is σ = 494475601536. Its totient is φ = 69512256000.

The previous prime is 200012110073. The next prime is 200012110121. The reversal of 200012110100 is 1011210002.

200012110100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41008862 + ... + 41013738.

It is an arithmetic number, because the mean of its divisors is an integer number (3433858344).

Almost surely, 2200012110100 is an apocalyptic number.

200012110100 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 200012110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247237800768).

200012110100 is an abundant number, since it is smaller than the sum of its proper divisors (294463491436).

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

200012110100 is a wasteful number, since it uses less digits than its factorization.

200012110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200012110100 its reverse (1011210002), we get a palindrome (201023320102).

The spelling of 200012110100 in words is "two hundred billion, twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 1621 2300 2530 3242 4877 5060 6325 6484 8105 9754 12650 16210 17831 19508 24385 25300 32420 35662 37283 40525 48770 53647 71324 74566 81050 89155 97540 107294 112171 121925 149132 162100 178310 186415 214588 224342 243850 268235 356620 372830 410113 445775 448684 487700 536470 560855 745660 820226 891550 932075 1072940 1121710 1233881 1341175 1640452 1783100 1864150 2050565 2243420 2467762 2682350 2804275 3728300 4101130 4935524 5364700 5608550 6169405 7905617 8202260 10252825 11217100 12338810 15811234 20505650 24677620 30847025 31622468 39528085 41011300 61694050 79056170 86961787 123388100 158112340 173923574 181829191 197640425 347847148 363658382 395280850 434808935 727316764 790561700 869617870 909145955 1739235740 1818291910 2000121101 2174044675 3636583820 4000242202 4348089350 4545729775 8000484404 8696178700 9091459550 10000605505 18182919100 20001211010 40002422020 50003027525 100006055050 200012110100