Search a number
-
+
3010320000000 = 210325737113
BaseRepresentation
bin101011110011100101000…
…011011110010000000000
3101122210011101011121001100
4223303211003132100000
5343310113410000000
610222531044534400
7430326351544455
oct53634503362000
911583141147040
103010320000000
11a607401854a5
124075060b1400
1318ab448cb591
14a59b375782c
155348a761a00
hex2bce50de400

3010320000000 has 1056 divisors, whose sum is σ = 11257671570912. Its totient is φ = 774144000000.

The previous prime is 3010319999993. The next prime is 3010320000007. The reversal of 3010320000000 is 230103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3010319999993) and next prime (3010320000007).

It can be written as a sum of positive squares in 16 ways, for example, as 912040280064 + 2098279719936 = 955008^2 + 1448544^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3010320000007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26639999944 + ... + 26640000056.

Almost surely, 23010320000000 is an apocalyptic number.

3010320000000 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 3010320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628835785456).

3010320000000 is an abundant number, since it is smaller than the sum of its proper divisors (8247351570912).

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

3010320000000 is an frugal number, since it uses more digits than its factorization.

3010320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 3010320000000 its reverse (230103), we get a palindrome (3010320230103).

The spelling of 3010320000000 in words is "three trillion, ten billion, three hundred twenty million", and thus it is an aban number.