Search a number
-
+
1204011134300 = 2252137164320287
BaseRepresentation
bin10001100001010100101…
…001111110110101011100
311021002202121100211211002
4101201110221332311130
5124211303322244200
62321040505045432
7152662342532102
oct21412451766534
94232677324732
101204011134300
11424688995717
12175418a86878
13896cb607360
14423bb139c72
15214bbe0ebd5
hex11854a7ed5c

1204011134300 has 144 divisors (see below), whose sum is σ = 2857889083392. Its totient is φ = 437593363200.

The previous prime is 1204011134299. The next prime is 1204011134329. The reversal of 1204011134300 is 34311104021.

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 47 ways as a sum of consecutive naturals, for example, 59338757 + ... + 59359043.

It is an arithmetic number, because the mean of its divisors is an integer number (19846451968).

Almost surely, 21204011134300 is an apocalyptic number.

1204011134300 is a gapful number since it is divisible by the number (10) 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 1204011134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428944541696).

1204011134300 is an abundant number, since it is smaller than the sum of its proper divisors (1653877949092).

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

1204011134300 is a wasteful number, since it uses less digits than its factorization.

1204011134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028 (or 21021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1204011134300 its reverse (34311104021), we get a palindrome (1238322238321).

The spelling of 1204011134300 in words is "one trillion, two hundred four billion, eleven million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 643 650 710 923 1286 1300 1420 1775 1846 2572 3215 3550 3692 4615 6430 7100 8359 9230 12860 16075 16718 18460 20287 23075 32150 33436 40574 41795 45653 46150 64300 81148 83590 91306 92300 101435 167180 182612 202870 208975 228265 263731 405740 417950 456530 507175 527462 593489 835900 913060 1014350 1054924 1141325 1186978 1318655 1440377 2028700 2282650 2373956 2637310 2880754 2967445 4565300 5274620 5761508 5934890 6593275 7201885 11869780 13044541 13186550 14403770 14837225 18724901 26089082 26373100 28807540 29674450 36009425 37449802 52178164 59348900 65222705 72018850 74899604 93624505 130445410 144037700 169579033 187249010 260890820 326113525 339158066 374498020 468122525 652227050 678316132 847895165 926162411 936245050 1304454100 1695790330 1852324822 1872490100 3391580660 3704649644 4239475825 4630812055 8478951650 9261624110 12040111343 16957903300 18523248220 23154060275 24080222686 46308120550 48160445372 60200556715 92616241100 120401113430 240802226860 301002783575 602005567150 1204011134300