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2211210220120 = 2351129473687071
BaseRepresentation
bin100000001011010110011…
…001100101001001011000
321211101112001010201111021
4200023112121211021120
5242212024304020440
64411452125012224
7315516564516406
oct40132631451130
97741461121437
102211210220120
11782850583310
122b86699b4074
13130693202c95
1479047724476
153c7ba6b884a
hex202d6665258

2211210220120 has 128 divisors (see below), whose sum is σ = 5734134374400. Its totient is φ = 759831385600.

The previous prime is 2211210220081. The next prime is 2211210220139. The reversal of 2211210220120 is 210220121122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2211210220094 and 2211210220103.

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 31 ways as a sum of consecutive naturals, for example, 1243816 + ... + 2443255.

It is an arithmetic number, because the mean of its divisors is an integer number (44797924800).

Almost surely, 22211210220120 is an apocalyptic number.

2211210220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211210220120 is an abundant number, since it is smaller than the sum of its proper divisors (3522924154280).

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

2211210220120 is a wasteful number, since it uses less digits than its factorization.

2211210220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687169 (or 3687165 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211210220120 its reverse (210220121122), we get a palindrome (2421430341242).

The spelling of 2211210220120 in words is "two trillion, two hundred eleven billion, two hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 47 55 58 88 94 110 116 145 188 220 232 235 290 319 376 440 470 517 580 638 940 1034 1160 1276 1363 1595 1880 2068 2552 2585 2726 3190 4136 5170 5452 6380 6815 10340 10904 12760 13630 14993 20680 27260 29986 54520 59972 74965 119944 149930 299860 599720 3687071 7374142 14748284 18435355 29496568 36870710 40557781 73741420 81115562 106925059 147482840 162231124 173292337 202788905 213850118 324462248 346584674 405577810 427700236 534625295 693169348 811155620 855400472 866461685 1069250590 1176175649 1386338696 1622311240 1732923370 1906215707 2138501180 2352351298 3465846740 3812431414 4277002360 4704702596 5025477773 5880878245 6931693480 7624862828 9409405192 9531078535 10050955546 11761756490 15249725656 19062157070 20101911092 23523512980 25127388865 38124314140 40203822184 47047025960 50254777730 55280255503 76248628280 100509555460 110560511006 201019110920 221121022012 276401277515 442242044024 552802555030 1105605110060 2211210220120