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3135322330000 = 24547231206407
BaseRepresentation
bin101101100111111111110…
…001100001001110010000
3102002201211000002220021021
4231213333301201032100
5402332120004030000
610400202554405224
7442343132040400
oct55477761411620
912081730086237
103135322330000
11aa9756799143
12427791130814
1319987627bc13
14aba711aa800
155685497e11a
hex2d9ffc61390

3135322330000 has 300 divisors, whose sum is σ = 9115155616512. Its totient is φ = 1040286240000.

The previous prime is 3135322329977. The next prime is 3135322330001. The reversal of 3135322330000 is 332235313.

It is a happy number.

It is a super-2 number, since 2×31353223300002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3135322330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15086797 + ... + 15293203.

Almost surely, 23135322330000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135322330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557577808256).

3135322330000 is an abundant number, since it is smaller than the sum of its proper divisors (5979833286512).

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

3135322330000 is a wasteful number, since it uses less digits than its factorization.

3135322330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206480 (or 206452 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 25.

Adding to 3135322330000 its reverse (332235313), we get a palindrome (3135654565313).

The spelling of 3135322330000 in words is "three trillion, one hundred thirty-five billion, three hundred twenty-two million, three hundred thirty thousand".