Search a number
-
+
3123112300000 = 2555711405599
BaseRepresentation
bin101101011100100111111…
…111111100110111100000
3102001120022001210002220221
4231130213333330313200
5402132113222100000
610350423223212424
7441431430353320
oct55344777746740
912046261702827
103123112300000
11aa4560523960
12425343ba7114
1319867b75a9b4
14ab233719280
155638ca7261a
hex2d727ffcde0

3123112300000 has 288 divisors, whose sum is σ = 9581686732800. Its totient is φ = 973435200000.

The previous prime is 3123112299977. The next prime is 3123112300003. The reversal of 3123112300000 is 32113213.

It is a super-2 number, since 2×31231123000002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123112300003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7497201 + ... + 7902799.

It is an arithmetic number, because the mean of its divisors is an integer number (33269745600).

Almost surely, 23123112300000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123112300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790843366400).

3123112300000 is an abundant number, since it is smaller than the sum of its proper divisors (6458574432800).

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

3123112300000 is an equidigital number, since it uses as much as digits as its factorization.

3123112300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405652 (or 405624 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3123112300000 its reverse (32113213), we get a palindrome (3123144413213).

The spelling of 3123112300000 in words is "three trillion, one hundred twenty-three billion, one hundred twelve million, three hundred thousand".