Search a number
-
+
10331133133230 = 2335713421998759
BaseRepresentation
bin1001011001010110011110…
…0001010100000110101110
31100120122110102122022112000
42112111213201110012232
52323231130040230410
633550020153153130
72114254052500140
oct226254741240656
940518412568460
1010331133133230
11332345535a098
1211aa2ab6bb7a6
1359c2b6031050
1427a05ada0c90
1512db0a958dc0
hex965678541ae

10331133133230 has 256 divisors, whose sum is σ = 33987882700800. Its totient is φ = 2174575818240.

The previous prime is 10331133133193. The next prime is 10331133133231. The reversal of 10331133133230 is 3233133113301.

10331133133230 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 1 + 331 + 3 + 323 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10331133133194 and 10331133133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331133133231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9844591 + ... + 10843349.

It is an arithmetic number, because the mean of its divisors is an integer number (132765166800).

Almost surely, 210331133133230 is an apocalyptic number.

10331133133230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331133133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993941350400).

10331133133230 is an abundant number, since it is smaller than the sum of its proper divisors (23656749567570).

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

10331133133230 is a wasteful number, since it uses less digits than its factorization.

10331133133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999216 (or 999210 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 10331133133230 its reverse (3233133113301), we get a palindrome (13564266246531).

The spelling of 10331133133230 in words is "ten trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred thirty".