Search a number
-
+
1012000300000 = 255557717539
BaseRepresentation
bin11101011100111111110…
…10110001101111100000
310120202011001002211100121
432232133322301233200
5113040034034100000
62052523450330024
7133054211422264
oct16563772615740
93522131084317
101012000300000
113602068719a8
12144170a29914
137457b506a81
1436da41020a4
151b4d0045b1a
hexeb9feb1be0

1012000300000 has 144 divisors (see below), whose sum is σ = 2494768293360. Its totient is φ = 404075520000.

The previous prime is 1012000299967. The next prime is 1012000300009. The reversal of 1012000300000 is 30002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000300009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57691231 + ... + 57708769.

It is an arithmetic number, because the mean of its divisors is an integer number (17324779815).

Almost surely, 21012000300000 is an apocalyptic number.

1012000300000 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 1012000300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247384146680).

1012000300000 is an abundant number, since it is smaller than the sum of its proper divisors (1482767993360).

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

1012000300000 is an frugal number, since it uses more digits than its factorization.

1012000300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18151 (or 18123 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 1012000300000 its reverse (30002101), we get a palindrome (1012030302101).

The spelling of 1012000300000 in words is "one trillion, twelve billion, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 577 625 800 1000 1154 1250 2000 2308 2500 2885 3125 4000 4616 5000 5770 6250 9232 10000 11540 12500 14425 17539 18464 20000 23080 25000 28850 35078 46160 50000 57700 70156 72125 87695 92320 100000 115400 140312 144250 175390 230800 280624 288500 350780 360625 438475 461600 561248 577000 701560 721250 876950 1154000 1403120 1442500 1753900 1803125 2192375 2308000 2806240 2885000 3507800 3606250 4384750 5770000 7015600 7212500 8769500 10120003 10961875 11540000 14031200 14425000 17539000 20240006 21923750 28850000 35078000 40480012 43847500 50600015 54809375 57700000 70156000 80960024 87695000 101200030 109618750 161920048 175390000 202400060 219237500 253000075 323840096 350780000 404800120 438475000 506000150 809600240 876950000 1012000300 1265000375 1619200480 1753900000 2024000600 2530000750 4048001200 5060001500 6325001875 8096002400 10120003000 12650003750 20240006000 25300007500 31625009375 40480012000 50600015000 63250018750 101200030000 126500037500 202400060000 253000075000 506000150000 1012000300000