Search a number
-
+
30124042101200 = 2452257293035429
BaseRepresentation
bin1101101100101110011001…
…10101000010000111010000
310221122211102021210101102102
412312113030311002013100
512422023014234214300
6144022443251535532
76226250563014215
oct666271465020720
9127584367711372
1030124042101200
119664597485683
1234662a88ba5a8
1313a68b9b99078
14762023485b0c
153738dea6e0d5
hex1b65ccd421d0

30124042101200 has 60 divisors (see below), whose sum is σ = 72654618443340. Its totient is φ = 12002731130880.

The previous prime is 30124042101199. The next prime is 30124042101269. The reversal of 30124042101200 is 210124042103.

It can be written as a sum of positive squares in 6 ways, for example, as 247498290064 + 29876543811136 = 497492^2 + 5465944^2 .

It is a super-2 number, since 2×301240421012002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146414915 + ... + 146620514.

It is an arithmetic number, because the mean of its divisors is an integer number (1210910307389).

Almost surely, 230124042101200 is an apocalyptic number.

It is an amenable number.

30124042101200 is an abundant number, since it is smaller than the sum of its proper divisors (42530576342140).

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

30124042101200 is a wasteful number, since it uses less digits than its factorization.

30124042101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293035704 (or 293035693 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30124042101200 its reverse (210124042103), we get a palindrome (30334166143303).

The spelling of 30124042101200 in words is "thirty trillion, one hundred twenty-four billion, forty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 257 400 514 1028 1285 2056 2570 4112 5140 6425 10280 12850 20560 25700 51400 102800 293035429 586070858 1172141716 1465177145 2344283432 2930354290 4688566864 5860708580 7325885725 11721417160 14651771450 23442834320 29303542900 58607085800 75310105253 117214171600 150620210506 301240421012 376550526265 602480842024 753101052530 1204961684048 1506202105060 1882752631325 3012404210120 3765505262650 6024808420240 7531010525300 15062021050600 30124042101200