Search a number
-
+
3020311110000 = 243543713120771
BaseRepresentation
bin101011111100111000100…
…100100010000101110000
3101200201221200012120101110
4223330320210202011300
5343441044121010000
610231302313033320
7431132060562162
oct53747044420560
911621850176343
103020311110000
11a649a79782a8
124094340b5840
1318ba777c54a2
14a6280644932
1553872965850
hex2bf38922170

3020311110000 has 400 divisors, whose sum is σ = 10090404137088. Its totient is φ = 777628800000.

The previous prime is 3020311109999. The next prime is 3020311110001. The reversal of 3020311110000 is 111130203.

It is an interprime number because it is at equal distance from previous prime (3020311109999) and next prime (3020311110001).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020311110001) 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 79 ways as a sum of consecutive naturals, for example, 145399615 + ... + 145420385.

Almost surely, 23020311110000 is an apocalyptic number.

3020311110000 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 3020311110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045202068544).

3020311110000 is an abundant number, since it is smaller than the sum of its proper divisors (7070093027088).

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

3020311110000 is a wasteful number, since it uses less digits than its factorization.

3020311110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20970 (or 20949 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3020311110000 its reverse (111130203), we get a palindrome (3020422240203).

The spelling of 3020311110000 in words is "three trillion, twenty billion, three hundred eleven million, one hundred ten thousand".