Search a number
-
+
2231130003300 = 223252113716736473
BaseRepresentation
bin100000011101111001101…
…101100001011101100100
321220021221021201112221200
4200131321231201131210
5243023323240101200
64424544511042500
7320123324055132
oct40357155413544
97807837645850
102231130003300
117902427a3240
123004a8b10430
131325190a2933
1479db70c8752
153d08438b800
hex20779b61764

2231130003300 has 432 divisors, whose sum is σ = 7882438741632. Its totient is φ = 523096012800.

The previous prime is 2231130003293. The next prime is 2231130003313. The reversal of 2231130003300 is 33000311322.

2231130003300 is a `hidden beast` number, since 2 + 2 + 31 + 1 + 300 + 0 + 330 + 0 = 666.

2231130003300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22311300033003 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61153864 + ... + 61190336.

It is an arithmetic number, because the mean of its divisors is an integer number (18246385976).

Almost surely, 22231130003300 is an apocalyptic number.

2231130003300 is a gapful number since it is divisible by the number (20) 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 2231130003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941219370816).

2231130003300 is an abundant number, since it is smaller than the sum of its proper divisors (5651308738332).

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

2231130003300 is a wasteful number, since it uses less digits than its factorization.

2231130003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36708 (or 36698 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2231130003300 its reverse (33000311322), we get a palindrome (2264130314622).

The spelling of 2231130003300 in words is "two trillion, two hundred thirty-one billion, one hundred thirty million, three thousand, three hundred".