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212310210121020 = 2232511108631987079
BaseRepresentation
bin110000010001100001010010…
…101010000000110100111100
31000211201122202120210002002100
4300101201102222000310330
5210311442302242333040
62031313544123025100
762501622633004314
oct6021412252006474
91024648676702070
10212310210121020
11617152887744a0
121b98b18396b190
1391609c7b8679b
143a5dc24762444
151982a20bd4b30
hexc11852a80d3c

212310210121020 has 144 divisors (see below), whose sum is σ = 702560965317120. Its totient is φ = 51468615907200.

The previous prime is 212310210120881. The next prime is 212310210121063. The reversal of 212310210121020 is 20121012013212.

212310210121020 is a `hidden beast` number, since 2 + 1 + 2 + 310 + 210 + 121 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212310210120984 and 212310210121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214595841 + ... + 215582919.

It is an arithmetic number, because the mean of its divisors is an integer number (4878895592480).

Almost surely, 2212310210121020 is an apocalyptic number.

212310210121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212310210121020 is an abundant number, since it is smaller than the sum of its proper divisors (490250755196100).

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

212310210121020 is a wasteful number, since it uses less digits than its factorization.

212310210121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095736 (or 1095731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212310210121020 its reverse (20121012013212), we get a palindrome (232431222134232).

The spelling of 212310210121020 in words is "two hundred twelve trillion, three hundred ten billion, two hundred ten million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 108631 217262 325893 434524 543155 651786 977679 987079 1086310 1194941 1303572 1629465 1955358 1974158 2172620 2389882 2961237 3258930 3584823 3910716 3948316 4779764 4888395 4935395 5922474 5974705 6517860 7169646 8883711 9776790 9870790 10754469 10857869 11844948 11949410 14339292 14806185 17767422 17924115 19553580 19741580 21508938 21715738 23898820 29612370 32573607 35534844 35848230 43017876 43431476 44418555 53772345 54289345 59224740 65147214 71696460 88837110 97720821 107544690 108578690 130294428 162868035 177674220 195441642 215089380 217157380 325736070 390883284 488604105 651472140 977208210 1954416420 107227378849 214454757698 321682136547 428909515396 536136894245 643364273094 965046409641 1072273788490 1179501167339 1286728546188 1608410682735 1930092819282 2144547576980 2359002334678 3216821365470 3538503502017 3860185638564 4718004669356 4825232048205 5897505836695 6433642730940 7077007004034 9650464096410 10615510506051 11795011673390 14154014008068 17692517510085 19300928192820 21231021012102 23590023346780 35385035020170 42462042024204 53077552530255 70770070040340 106155105060510 212310210121020