Search a number
-
+
10332223104 = 273721928901
BaseRepresentation
bin10011001111101100…
…10011011010000000
3222200001220022112210
421213312103122000
5132130022114404
64425131222120
7514020306300
oct114766233200
928601808483
1010332223104
1144222a8165
1220042a7940
13c8878b0a8
14700323600
15407134689
hex267d93680

10332223104 has 192 divisors, whose sum is σ = 33607245600. Its totient is φ = 2796595200.

The previous prime is 10332223063. The next prime is 10332223117. The reversal of 10332223104 is 40132223301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343054 + ... + 371954.

Almost surely, 210332223104 is an apocalyptic number.

10332223104 is a gapful number since it is divisible by the number (14) 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 10332223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803622800).

10332223104 is an abundant number, since it is smaller than the sum of its proper divisors (23275022496).

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

10332223104 is a wasteful number, since it uses less digits than its factorization.

10332223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28951 (or 28932 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10332223104 its reverse (40132223301), we get a palindrome (50464446405).

The spelling of 10332223104 in words is "ten billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred four".