Search a number
-
+
2104336334012 = 22112171511693729
BaseRepresentation
bin11110100111110100001…
…110000011110010111100
321110011122211001210012012
4132213310032003302330
5233434140100142022
64250415130430352
7305014262465543
oct36476416036274
97404584053165
102104336334012
11741498000900
1229ba01b923b8
13123590575313
1473bc97b515a
1539b12c76de2
hex1e9f4383cbc

2104336334012 has 72 divisors (see below), whose sum is σ = 4314296155680. Its totient is φ = 894288384000.

The previous prime is 2104336334003. The next prime is 2104336334033.

2104336334012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21043363340122 (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 2104336334012.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 395564 + ... + 2089292.

It is an arithmetic number, because the mean of its divisors is an integer number (59920779940).

Almost surely, 22104336334012 is an apocalyptic number.

2104336334012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2104336334012 is an abundant number, since it is smaller than the sum of its proper divisors (2209959821668).

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

2104336334012 is a wasteful number, since it uses less digits than its factorization.

2104336334012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693923 (or 1693910 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 2104336334012 in words is "two trillion, one hundred four billion, three hundred thirty-six million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 121 151 187 242 302 374 484 604 748 1661 2057 2567 3322 4114 5134 6644 8228 10268 18271 28237 36542 56474 73084 112948 310607 621214 1242428 1693729 3387458 6774916 18631019 28793393 37262038 57586786 74524076 115173572 204941209 255753079 316727323 409882418 511506158 633454646 819764836 1023012316 1266909292 2813283869 3484000553 4347802343 5626567738 6968001106 8695604686 11253135476 13936002212 17391209372 30946122559 47825825773 61892245118 95651651546 123784490236 191303303092 526084083503 1052168167006 2104336334012