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2100282321825 = 325279698316921
BaseRepresentation
bin11110100100000010100…
…101001110101110100001
321102210012021201121221200
4132210002211032232201
5233402334233244300
64244504551111413
7304511645114202
oct36440245165641
97383167647850
102100282321825
1173a7a7686506
1229b070372569
131230956c223c
14739232015a9
1539976dd3200
hex1e90294eba1

2100282321825 has 72 divisors (see below), whose sum is σ = 3810227915520. Its totient is φ = 1105747718400.

The previous prime is 2100282321811. The next prime is 2100282321833. The reversal of 2100282321825 is 5281232820012.

It is not a de Polignac number, because 2100282321825 - 212 = 2100282317729 is a prime.

It is a super-2 number, since 2×21002823218252 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100282321825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124114365 + ... + 124131285.

It is an arithmetic number, because the mean of its divisors is an integer number (52919832160).

Almost surely, 22100282321825 is an apocalyptic number.

2100282321825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2100282321825 is a deficient number, since it is larger than the sum of its proper divisors (1709945593695).

2100282321825 is a wasteful number, since it uses less digits than its factorization.

2100282321825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23999 (or 23991 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2100282321825 in words is "two trillion, one hundred billion, two hundred eighty-two million, three hundred twenty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 79 225 237 395 711 1185 1975 3555 5925 6983 16921 17775 20949 34915 50763 62847 84605 104745 152289 174575 253815 314235 423025 523725 551657 761445 1269075 1336759 1571175 1654971 2758285 3807225 4010277 4964913 6683795 8274855 12030831 13791425 20051385 24824565 33418975 41374275 60154155 100256925 118159343 124122825 300770775 354478029 590796715 1063434087 1772390145 2953983575 5317170435 8861950725 9334588097 26585852175 28003764291 46672940485 84011292873 140018821455 233364702425 420056464365 700094107275 2100282321825