Search a number
-
+
1003343300000 = 255579712589
BaseRepresentation
bin11101001100110111110…
…10111100010110100000
310112220210201102122212222
432212123322330112200
5112414321341100000
62044532441010212
7132326532222236
oct16463372742640
93486721378788
101003343300000
11357574154748
12142555783968
13737cbb2b772
14367c2494956
151b17501da85
hexe99bebc5a0

1003343300000 has 144 divisors (see below), whose sum is σ = 2472301371960. Its totient is φ = 400801920000.

The previous prime is 1003343299901. The next prime is 1003343300123. The reversal of 1003343300000 is 33433001.

It can be written as a sum of positive squares in 12 ways, for example, as 712464293776 + 290879006224 = 844076^2 + 539332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79693706 + ... + 79706294.

Almost surely, 21003343300000 is an apocalyptic number.

1003343300000 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 1003343300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236150685980).

1003343300000 is an abundant number, since it is smaller than the sum of its proper divisors (1468958071960).

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

1003343300000 is an frugal number, since it uses more digits than its factorization.

1003343300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 1003343300000 its reverse (33433001), we get a palindrome (1003376733001).

The spelling of 1003343300000 in words is "one trillion, three billion, three hundred forty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 797 800 1000 1250 1594 2000 2500 3125 3188 3985 4000 5000 6250 6376 7970 10000 12500 12589 12752 15940 19925 20000 25000 25178 25504 31880 39850 50000 50356 62945 63760 79700 99625 100000 100712 125890 127520 159400 199250 201424 251780 314725 318800 398500 402848 498125 503560 629450 637600 797000 996250 1007120 1258900 1573625 1594000 1992500 2014240 2490625 2517800 3147250 3188000 3985000 4981250 5035600 6294500 7868125 7970000 9962500 10033433 10071200 12589000 15736250 15940000 19925000 20066866 25178000 31472500 39340625 39850000 40133732 50167165 50356000 62945000 78681250 79700000 80267464 100334330 125890000 157362500 160534928 200668660 250835825 251780000 314725000 321069856 401337320 501671650 629450000 802674640 1003343300 1254179125 1258900000 1605349280 2006686600 2508358250 4013373200 5016716500 6270895625 8026746400 10033433000 12541791250 20066866000 25083582500 31354478125 40133732000 50167165000 62708956250 100334330000 125417912500 200668660000 250835825000 501671650000 1003343300000