Search a number
-
+
1333411442100 = 22325229351114551
BaseRepresentation
bin10011011001110101100…
…000111110110110110100
311201110202201212120101200
4103121311200332312310
5133321311312121400
62500321042452500
7165223115151513
oct23316540766664
94643681776350
101333411442100
11474550aa7161
12196510964130
139898119041a
1448774adc67a
1524a422b6b00
hex1367583edb4

1333411442100 has 216 divisors, whose sum is σ = 4325153589120. Its totient is φ = 343193760000.

The previous prime is 1333411442087. The next prime is 1333411442107. The reversal of 1333411442100 is 12441143331.

1333411442100 is a `hidden beast` number, since 1 + 3 + 33 + 411 + 4 + 4 + 210 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333411442107) 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 71 ways as a sum of consecutive naturals, for example, 91629825 + ... + 91644375.

Almost surely, 21333411442100 is an apocalyptic number.

1333411442100 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 1333411442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162576794560).

1333411442100 is an abundant number, since it is smaller than the sum of its proper divisors (2991742147020).

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

1333411442100 is a wasteful number, since it uses less digits than its factorization.

1333411442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18111 (or 18101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1333411442100 its reverse (12441143331), we get a palindrome (1345852585431).

The spelling of 1333411442100 in words is "one trillion, three hundred thirty-three billion, four hundred eleven million, four hundred forty-two thousand, one hundred".