Search a number
-
+
10523245000 = 235419110771
BaseRepresentation
bin10011100110011101…
…11111100111001000
31000011101100020022211
421303032333213020
5133022422320000
64500113354504
7521530051402
oct116316774710
930141306284
1010523245000
1145101087a4
122058268a34
13cb92209b8
1471b849b72
15418cb87ba
hex2733bf9c8

10523245000 has 80 divisors (see below), whose sum is σ = 25953879600. Its totient is φ = 3987720000.

The previous prime is 10523244973. The next prime is 10523245001. The reversal of 10523245000 is 54232501.

It is a super-2 number, since 2×105232450002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10523245001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39615 + ... + 150385.

It is an arithmetic number, because the mean of its divisors is an integer number (324423495).

Almost surely, 210523245000 is an apocalyptic number.

10523245000 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 10523245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976939800).

10523245000 is an abundant number, since it is smaller than the sum of its proper divisors (15430634600).

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

10523245000 is a wasteful number, since it uses less digits than its factorization.

10523245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110816 (or 110797 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 10523245000 its reverse (54232501), we get a palindrome (10577477501).

The spelling of 10523245000 in words is "ten billion, five hundred twenty-three million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 760 950 1000 1250 1900 2375 2500 3800 4750 5000 9500 11875 19000 23750 47500 95000 110771 221542 443084 553855 886168 1107710 2104649 2215420 2769275 4209298 4430840 5538550 8418596 10523245 11077100 13846375 16837192 21046490 22154200 27692750 42092980 52616225 55385500 69231875 84185960 105232450 110771000 138463750 210464900 263081125 276927500 420929800 526162250 553855000 1052324500 1315405625 2104649000 2630811250 5261622500 10523245000