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2118710137700 = 22521317472039771
BaseRepresentation
bin11110110101001100111…
…101110001001101100100
321111112202112220200000202
4132311030331301031210
5234203104243401300
64301153315130032
7306033420012002
oct36651475611544
97445675820022
102118710137700
117475a3702302
122a27538a3918
13124a41452bc0
1474790793a72
153a1a4ae6ad5
hex1ed4cf71364

2118710137700 has 144 divisors (see below), whose sum is σ = 5354058818304. Its totient is φ = 720609945600.

The previous prime is 2118710137699. The next prime is 2118710137727. The reversal of 2118710137700 is 77310178112.

It is a super-2 number, since 2×21187101377002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18815 + ... + 2058585.

It is an arithmetic number, because the mean of its divisors is an integer number (37180964016).

Almost surely, 22118710137700 is an apocalyptic number.

2118710137700 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 2118710137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677029409152).

2118710137700 is an abundant number, since it is smaller than the sum of its proper divisors (3235348680604).

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

2118710137700 is a wasteful number, since it uses less digits than its factorization.

2118710137700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039862 (or 2039855 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 38.

The spelling of 2118710137700 in words is "two trillion, one hundred eighteen billion, seven hundred ten million, one hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 47 50 52 65 68 85 94 100 130 170 188 221 235 260 325 340 425 442 470 611 650 799 850 884 940 1105 1175 1222 1300 1598 1700 2210 2350 2444 3055 3196 3995 4420 4700 5525 6110 7990 10387 11050 12220 15275 15980 19975 20774 22100 30550 39950 41548 51935 61100 79900 103870 207740 259675 519350 1038700 2039771 4079542 8159084 10198855 20397710 26517023 34676107 40795420 50994275 53034046 69352214 95869237 101988550 106068092 132585115 138704428 173380535 191738474 203977100 265170230 346761070 383476948 450789391 479346185 530340460 662925575 693522140 866902675 901578782 958692370 1246300081 1325851150 1629777029 1733805350 1803157564 1917384740 2253946955 2396730925 2492600162 2651702300 3259554058 3467610700 4507893910 4793461850 4985200324 6231500405 6519108116 8148885145 9015787820 9586923700 11269734775 12463000810 16297770290 21187101377 22539469550 24926001620 31157502025 32595540580 40744425725 42374202754 45078939100 62315004050 81488851450 84748405508 105935506885 124630008100 162977702900 211871013770 423742027540 529677534425 1059355068850 2118710137700