Search a number
-
+
2110680825820 = 225747213193453
BaseRepresentation
bin11110101101101110011…
…000010111111111011100
321110210000222100100210021
4132231232120113333130
5234040133242411240
64253344451121524
7305330432000320
oct36555630277734
97423028310707
102110680825820
11744153334466
122a10928a32a4
13124061b19098
147422c259980
1539d84c5b54a
hex1eb6e617fdc

2110680825820 has 48 divisors (see below), whose sum is σ = 5066708568768. Its totient is φ = 723508485120.

The previous prime is 2110680825779. The next prime is 2110680825821. The reversal of 2110680825820 is 285280860112.

It is a super-3 number, since 3×21106808258203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110680825821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935787 + ... + 2257666.

It is an arithmetic number, because the mean of its divisors is an integer number (105556428516).

Almost surely, 22110680825820 is an apocalyptic number.

2110680825820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110680825820 is an abundant number, since it is smaller than the sum of its proper divisors (2956027742948).

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

2110680825820 is a wasteful number, since it uses less digits than its factorization.

2110680825820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198190 (or 3198188 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 2110680825820 in words is "two trillion, one hundred ten billion, six hundred eighty million, eight hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 4721 9442 18884 23605 33047 47210 66094 94420 132188 165235 330470 660940 3193453 6386906 12773812 15967265 22354171 31934530 44708342 63869060 89416684 111770855 223541710 447083420 15076291613 30152583226 60305166452 75381458065 105534041291 150762916130 211068082582 301525832260 422136165164 527670206455 1055340412910 2110680825820