Search a number
-
+
1010130303312 = 24331311310211559
BaseRepresentation
bin11101011001100000111…
…01010011100101010000
310120120022201101011011000
432230300131103211100
5113022221324201222
62052014130022000
7132656653624014
oct16546035234520
93516281334130
101010130303312
1135a437249799
1214392a717900
1374340c79860
1436c67a08544
151b420cb29ac
hexeb30753950

1010130303312 has 320 divisors, whose sum is σ = 3155223052800. Its totient is φ = 307559669760.

The previous prime is 1010130303277. The next prime is 1010130303313. The reversal of 1010130303312 is 2133030310101.

It is a happy number.

1010130303312 is a `hidden beast` number, since 10 + 10 + 1 + 30 + 303 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010130303313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647933989 + ... + 647935547.

It is an arithmetic number, because the mean of its divisors is an integer number (9860072040).

Almost surely, 21010130303312 is an apocalyptic number.

1010130303312 is a gapful number since it is divisible by the number (12) 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 1010130303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577611526400).

1010130303312 is an abundant number, since it is smaller than the sum of its proper divisors (2145092749488).

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

1010130303312 is a wasteful number, since it uses less digits than its factorization.

1010130303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1010130303312 its reverse (2133030310101), we get a palindrome (3143160613413).

The spelling of 1010130303312 in words is "one trillion, ten billion, one hundred thirty million, three hundred three thousand, three hundred twelve".