Search a number
-
+
10032412500 = 22325511367
BaseRepresentation
bin10010101011111101…
…00111011101010100
3221220011202100201100
421111332213131110
5131021244200000
64335301230100
7503420046015
oct112576473524
927804670640
1010032412500
114289043000
121b3ba02330
13c3b628576
146b259d00c
153dab61a00
hex255fa7754

10032412500 has 432 divisors, whose sum is σ = 35385360192. Its totient is φ = 2395800000.

The previous prime is 10032412499. The next prime is 10032412561. The reversal of 10032412500 is 521423001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149737467 + ... + 149737533.

It is an arithmetic number, because the mean of its divisors is an integer number (81910556).

Almost surely, 210032412500 is an apocalyptic number.

10032412500 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 10032412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692680096).

10032412500 is an abundant number, since it is smaller than the sum of its proper divisors (25352947692).

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

10032412500 is an equidigital number, since it uses as much as digits as its factorization.

10032412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10032412500 its reverse (521423001), we get a palindrome (10553835501).

The spelling of 10032412500 in words is "ten billion, thirty-two million, four hundred twelve thousand, five hundred".