Search a number
-
+
10312232000 = 265371071721
BaseRepresentation
bin10011001101010100…
…00010110001000000
3222121200021122220112
421212222002301000
5132104412411000
64423134530452
7513355345220
oct114652026100
928550248815
1010312232000
114411a93594
121bb9666a28
13c845aba35
146db7dc080
154054d6235
hex266a82c40

10312232000 has 224 divisors, whose sum is σ = 29476452096. Its totient is φ = 3500544000.

The previous prime is 10312231991. The next prime is 10312232023. The reversal of 10312232000 is 23221301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5991140 + ... + 5992860.

It is an arithmetic number, because the mean of its divisors is an integer number (131591304).

Almost surely, 210312232000 is an apocalyptic number.

10312232000 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 10312232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738226048).

10312232000 is an abundant number, since it is smaller than the sum of its proper divisors (19164220096).

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

10312232000 is a wasteful number, since it uses less digits than its factorization.

10312232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10312232000 its reverse (23221301), we get a palindrome (10335453301).

The spelling of 10312232000 in words is "ten billion, three hundred twelve million, two hundred thirty-two thousand".