Search a number
-
+
3331020000 = 253547211103
BaseRepresentation
bin1100011010001011…
…0101010011100000
322121010220100102010
43012202311103200
523310220120000
61310311152520
7145355126400
oct30642652340
98533810363
103331020000
11145a3016a0
1278b675740
13411153669
14238572800
1514767dd50
hexc68b54e0

3331020000 has 720 divisors, whose sum is σ = 14000418432. Its totient is φ = 685440000.

The previous prime is 3331019987. The next prime is 3331020037. The reversal of 3331020000 is 201333.

It is a happy number.

It is a super-2 number, since 2×33310200002 = 22191388480800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32339949 + ... + 32340051.

Almost surely, 23331020000 is an apocalyptic number.

3331020000 is a gapful number since it is divisible by the number (30) 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 3331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000209216).

3331020000 is an abundant number, since it is smaller than the sum of its proper divisors (10669398432).

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

3331020000 is a wasteful number, since it uses less digits than its factorization.

3331020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3331020000 is about 57714.9893875066. The cubic root of 3331020000 is about 1493.4559361146.

Adding to 3331020000 its reverse (201333), we get a palindrome (3331221333).

The spelling of 3331020000 in words is "three billion, three hundred thirty-one million, twenty thousand".