Search a number
-
+
3220313031000 = 23365313373911
BaseRepresentation
bin101110110111001001100…
…111010100000101011000
3102101212012011002212000000
4232313021213110011120
5410230200113443000
610503220312213000
7451442234056602
oct56671147240530
912355164085000
103220313031000
1110317aa8307aa
1244015039a160
131a489c337b40
14b1c14aa6172
1558b7b169000
hex2edc99d4158

3220313031000 has 896 divisors, whose sum is σ = 12213228867840. Its totient is φ = 789699456000.

The previous prime is 3220313030971. The next prime is 3220313031011. The reversal of 3220313031000 is 1303130223.

3220313031000 is a `hidden beast` number, since 3 + 220 + 3 + 130 + 310 + 0 + 0 = 666.

3220313031000 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-2 number, since 2×32203130310002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3534920545 + ... + 3534921455.

It is an arithmetic number, because the mean of its divisors is an integer number (13630835790).

Almost surely, 23220313031000 is an apocalyptic number.

3220313031000 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 3220313031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106614433920).

3220313031000 is an abundant number, since it is smaller than the sum of its proper divisors (8992915836840).

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

3220313031000 is a wasteful number, since it uses less digits than its factorization.

3220313031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1307 counting only the distinct ones).

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

Adding to 3220313031000 its reverse (1303130223), we get a palindrome (3221616161223).

The spelling of 3220313031000 in words is "three trillion, two hundred twenty billion, three hundred thirteen million, thirty-one thousand".