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3112110231120 = 243251115719912577
BaseRepresentation
bin101101010010011000001…
…110011000111001010000
3102000111220022110002201100
4231102120032120321100
5401442100204343440
610341403402504400
7440561664332622
oct55223016307120
912014808402640
103112110231120
11a9a925102750
12423193505100
1319761728a777
14aa8ac46ac12
1555e46c25230
hex2d498398e50

3112110231120 has 480 divisors, whose sum is σ = 11532838636800. Its totient is φ = 745819176960.

The previous prime is 3112110231119. The next prime is 3112110231151. The reversal of 3112110231120 is 211320112113.

3112110231120 is a `hidden beast` number, since 311 + 2 + 1 + 1 + 0 + 231 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3112110231093 and 3112110231102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247438272 + ... + 247450848.

It is an arithmetic number, because the mean of its divisors is an integer number (24026747160).

Almost surely, 23112110231120 is an apocalyptic number.

3112110231120 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 3112110231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766419318400).

3112110231120 is an abundant number, since it is smaller than the sum of its proper divisors (8420728405680).

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

3112110231120 is a wasteful number, since it uses less digits than its factorization.

3112110231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3112110231120 its reverse (211320112113), we get a palindrome (3323430343233).

The spelling of 3112110231120 in words is "three trillion, one hundred twelve billion, one hundred ten million, two hundred thirty-one thousand, one hundred twenty".