Search a number
-
+
2033401214130 = 235111311315726717
BaseRepresentation
bin11101100101110000001…
…010000011010010110010
321012101120020010022222220
4131211300022003102302
5231303401202323010
64154044232541510
7266623402066056
oct35456012032262
97171506108886
102033401214130
117143a6a7a390
1228a105b51896
13119997488ac0
14705ba8ddc66
1537d604ed970
hex1d9702834b2

2033401214130 has 256 divisors, whose sum is σ = 5821134875136. Its totient is φ = 448110673920.

The previous prime is 2033401214129. The next prime is 2033401214149. The reversal of 2033401214130 is 314121043302.

It is a happy number.

It is a super-2 number, since 2×20334012141302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2033401214130.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76095532 + ... + 76122248.

It is an arithmetic number, because the mean of its divisors is an integer number (22738808106).

Almost surely, 22033401214130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033401214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910567437568).

2033401214130 is an abundant number, since it is smaller than the sum of its proper divisors (3787733661006).

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

2033401214130 is a wasteful number, since it uses less digits than its factorization.

2033401214130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27021.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2033401214130 its reverse (314121043302), we get a palindrome (2347522257432).

The spelling of 2033401214130 in words is "two trillion, thirty-three billion, four hundred one million, two hundred fourteen thousand, one hundred thirty".