Search a number
-
+
32343030011000 = 2353163199997103
BaseRepresentation
bin1110101101010011100101…
…10100001001010001111000
311020111222000101000200101102
413112221302310021101320
513214402011140323000
6152442103255510532
76545464302026012
oct726516264112170
9136458011020342
1032343030011000
11a33a6692952a5
123764367388448
131507c1c545c97
147db5a7b251b2
153b14b2e6d3d5
hex1d6a72d09478

32343030011000 has 128 divisors (see below), whose sum is σ = 76529726208000. Its totient is φ = 12793217500800.

The previous prime is 32343030010987. The next prime is 32343030011009. The reversal of 32343030011000 is 11003034323.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32343030011009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31938449 + ... + 32935551.

It is an arithmetic number, because the mean of its divisors is an integer number (597888486000).

Almost surely, 232343030011000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32343030011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38264863104000).

32343030011000 is an abundant number, since it is smaller than the sum of its proper divisors (44186696197000).

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

32343030011000 is a wasteful number, since it uses less digits than its factorization.

32343030011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997486 (or 997472 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32343030011000 its reverse (11003034323), we get a palindrome (32354033045323).

The spelling of 32343030011000 in words is "thirty-two trillion, three hundred forty-three billion, thirty million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 163 199 200 250 326 398 500 652 796 815 995 1000 1304 1592 1630 1990 3260 3980 4075 4975 6520 7960 8150 9950 16300 19900 20375 24875 32437 32600 39800 40750 49750 64874 81500 99500 129748 162185 163000 199000 259496 324370 648740 810925 997103 1297480 1621850 1994206 3243700 3988412 4054625 4985515 6487400 7976824 8109250 9971030 16218500 19942060 24927575 32437000 39884120 49855150 99710300 124637875 162527789 198423497 199420600 249275750 325055578 396846994 498551500 650111156 793693988 812638945 992117485 997103000 1300222312 1587387976 1625277890 1984234970 3250555780 3968469940 4063194725 4960587425 6501111560 7936939880 8126389450 9921174850 16252778900 19842349700 20315973625 24802937125 32343030011 32505557800 39684699400 40631947250 49605874250 64686060022 81263894500 99211748500 129372120044 161715150055 162527789000 198423497000 258744240088 323430300110 646860600220 808575750275 1293721200440 1617151500550 3234303001100 4042878751375 6468606002200 8085757502750 16171515005500 32343030011000