Search a number
-
+
3203330130 = 23257111331237
BaseRepresentation
bin1011111011101110…
…1111000001010010
322021020122000211200
42332323233001102
523030023031010
61245510252030
7142244566620
oct27673570122
98236560750
103203330130
1113a4218380
12754957016
133c0866520
14225614510
1513b359cc0
hexbeeef052

3203330130 has 576 divisors, whose sum is σ = 11867192064. Its totient is φ = 578534400.

The previous prime is 3203330113. The next prime is 3203330131. The reversal of 3203330130 is 310333023.

3203330130 is a `hidden beast` number, since 3 + 203 + 330 + 130 = 666.

It is a super-2 number, since 2×32033301302 = 20522647843531633800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3203330131) 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 287 ways as a sum of consecutive naturals, for example, 86576472 + ... + 86576508.

It is an arithmetic number, because the mean of its divisors is an integer number (20602764).

Almost surely, 23203330130 is an apocalyptic number.

3203330130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3203330130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933596032).

3203330130 is an abundant number, since it is smaller than the sum of its proper divisors (8663861934).

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

3203330130 is a wasteful number, since it uses less digits than its factorization.

3203330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3203330130 is about 56597.9693098613. The cubic root of 3203330130 is about 1474.1236015620.

Adding to 3203330130 its reverse (310333023), we get a palindrome (3513663153).

It can be divided in two parts, 3203 and 330130, that added together give a palindrome (333333).

The spelling of 3203330130 in words is "three billion, two hundred three million, three hundred thirty thousand, one hundred thirty".