Search a number
-
+
10041343000 = 235313977963
BaseRepresentation
bin10010101101000001…
…01011110000011000
3221220210120002001121
421112200223300120
5131031040434000
64340220455024
7503556002323
oct112640536030
927823502047
1010041343000
114293092687
121b429aa474
13c404343a0
146b38457ba
153db827b1a
hex25682bc18

10041343000 has 128 divisors (see below), whose sum is σ = 25568262720. Its totient is φ = 3668889600.

The previous prime is 10041342979. The next prime is 10041343009. The reversal of 10041343000 is 34314001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041343009) 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, 1257019 + ... + 1264981.

Almost surely, 210041343000 is an apocalyptic number.

10041343000 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 10041343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784131360).

10041343000 is an abundant number, since it is smaller than the sum of its proper divisors (15526919720).

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

10041343000 is a wasteful number, since it uses less digits than its factorization.

10041343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8094 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10041343000 its reverse (34314001), we get a palindrome (10075657001).

The spelling of 10041343000 in words is "ten billion, forty-one million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 97 100 104 125 130 194 200 250 260 325 388 485 500 520 650 776 970 1000 1261 1300 1625 1940 2425 2522 2600 3250 3880 4850 5044 6305 6500 7963 9700 10088 12125 12610 13000 15926 19400 24250 25220 31525 31852 39815 48500 50440 63050 63704 79630 97000 103519 126100 157625 159260 199075 207038 252200 315250 318520 398150 414076 517595 630500 772411 796300 828152 995375 1035190 1261000 1544822 1592600 1990750 2070380 2587975 3089644 3862055 3981500 4140760 5175950 6179288 7724110 7963000 10041343 10351900 12939875 15448220 19310275 20082686 20703800 25879750 30896440 38620550 40165372 50206715 51759500 77241100 80330744 96551375 100413430 103519000 154482200 193102750 200826860 251033575 386205500 401653720 502067150 772411000 1004134300 1255167875 2008268600 2510335750 5020671500 10041343000