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100200223012120 = 235711135672397917
BaseRepresentation
bin10110110010000110101110…
…101100101111010100011000
3111010210001021211020101220021
4112302012232230233110120
5101113140024042341440
6553035202540440224
730051140635516330
oct2662065654572430
9433701254211807
10100200223012120
1129a21748748710
12b2a3583b49074
1343baac071884a
141aa5a067860c0
15b8b6875e684a
hex5b21aeb2f518

100200223012120 has 128 divisors (see below), whose sum is σ = 281101980303360. Its totient is φ = 31228923317760.

The previous prime is 100200223012117. The next prime is 100200223012147. The reversal of 100200223012120 is 21210322002001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100200223012094 and 100200223012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40587402 + ... + 42985318.

It is an arithmetic number, because the mean of its divisors is an integer number (2196109221120).

Almost surely, 2100200223012120 is an apocalyptic number.

100200223012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200223012120 is an abundant number, since it is smaller than the sum of its proper divisors (180901757291240).

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

100200223012120 is a wasteful number, since it uses less digits than its factorization.

100200223012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411513 (or 2411509 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100200223012120 its reverse (21210322002001), we get a palindrome (121410545014121).

The spelling of 100200223012120 in words is "one hundred trillion, two hundred billion, two hundred twenty-three million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 13567 27134 54268 67835 94969 108536 135670 149237 189938 271340 298474 379876 474845 542680 596948 746185 759752 949690 1044659 1193896 1492370 1899380 2089318 2397917 2984740 3798760 4178636 4795834 5223295 5969480 8357272 9591668 10446590 11989585 16785419 19183336 20893180 23979170 26377087 33570838 41786360 47958340 52754174 67141676 83927095 95916680 105508348 131885435 134283352 167854190 184639609 211016696 263770870 335708380 369279218 527541740 671416760 738558436 923198045 1055083480 1477116872 1846396090 3692792180 7385584360 32532539939 65065079878 130130159756 162662699695 227727779573 260260319512 325325399390 357857939329 455455559146 650650798780 715715878658 910911118292 1138638897865 1301301597560 1431431757316 1789289696645 1821822236584 2277277795730 2505005575303 2862863514632 3578579393290 4554555591460 5010011150606 7157158786580 9109111182920 10020022301212 12525027876515 14314317573160 20040044602424 25050055753030 50100111506060 100200223012120