Search a number
-
+
10312221300 = 223523143107241
BaseRepresentation
bin10011001101010100…
…00000001001110100
3222121200021010020020
421212222000021310
5132104412040200
64423134405140
7513355302063
oct114652001164
928550233206
1010312221300
114411a86547
121bb96607b0
13c845a6bc4
146db7d81da
154054d2ea0
hex266a80274

10312221300 has 288 divisors, whose sum is σ = 31941955584. Its totient is φ = 2564352000.

The previous prime is 10312221277. The next prime is 10312221307. The reversal of 10312221300 is 312221301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10312221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312221307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42789180 + ... + 42789420.

It is an arithmetic number, because the mean of its divisors is an integer number (110909568).

Almost surely, 210312221300 is an apocalyptic number.

10312221300 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 10312221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970977792).

10312221300 is an abundant number, since it is smaller than the sum of its proper divisors (21629734284).

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

10312221300 is a wasteful number, since it uses less digits than its factorization.

10312221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10312221300 its reverse (312221301), we get a palindrome (10624442601).

Subtracting from 10312221300 its reverse (312221301), we obtain a palindrome (9999999999).

The spelling of 10312221300 in words is "ten billion, three hundred twelve million, two hundred twenty-one thousand, three hundred".