Search a number
-
+
10031443000 = 235364315601
BaseRepresentation
bin10010101011110101…
…11010110000111000
3221220002221002210221
421111322322300320
5131021022134000
64335224345424
7503405600335
oct112572726070
927802832727
1010031443000
114288540667
121b3b615274
13c3b3791b7
146b23c998c
153daa1e61a
hex255ebac38

10031443000 has 64 divisors (see below), whose sum is σ = 23511589920. Its totient is φ = 4006080000.

The previous prime is 10031442877. The next prime is 10031443049. The reversal of 10031443000 is 34413001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635200 + ... + 650800.

Almost surely, 210031443000 is an apocalyptic number.

10031443000 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 10031443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755794960).

10031443000 is an abundant number, since it is smaller than the sum of its proper divisors (13480146920).

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

10031443000 is a wasteful number, since it uses less digits than its factorization.

10031443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16265 (or 16251 counting only the distinct ones).

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

Adding to 10031443000 its reverse (34413001), we get a palindrome (10065856001).

The spelling of 10031443000 in words is "ten billion, thirty-one million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 643 1000 1286 2572 3215 5144 6430 12860 15601 16075 25720 31202 32150 62404 64300 78005 80375 124808 128600 156010 160750 312020 321500 390025 624040 643000 780050 1560100 1950125 3120200 3900250 7800500 10031443 15601000 20062886 40125772 50157215 80251544 100314430 200628860 250786075 401257720 501572150 1003144300 1253930375 2006288600 2507860750 5015721500 10031443000