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3110020112144 = 2411313079185131
BaseRepresentation
bin101101010000011011101…
…001001101111100010000
3102000022111122112001111102
4231100123221031330100
5401423310122042034
610340420140203532
7440456124531401
oct55203351157420
912008448461442
103110020112144
11a99a523033a0
124228ab5395a8
1319737324c28a
14aa750a339a8
1555d734b097e
hex2d41ba4df10

3110020112144 has 80 divisors (see below), whose sum is σ = 6787738890240. Its totient is φ = 1367592336000.

The previous prime is 3110020112119. The next prime is 3110020112153. The reversal of 3110020112144 is 4412110200113.

It is a super-3 number, since 3×31100201121443 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16706459 + ... + 16891589.

It is an arithmetic number, because the mean of its divisors is an integer number (84846736128).

Almost surely, 23110020112144 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 3110020112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393869445120).

3110020112144 is an abundant number, since it is smaller than the sum of its proper divisors (3677718778096).

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

3110020112144 is a wasteful number, since it uses less digits than its factorization.

3110020112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188260 (or 188254 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 3110020112144 its reverse (4412110200113), we get a palindrome (7522130312257).

The spelling of 3110020112144 in words is "three trillion, one hundred ten billion, twenty million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 3079 5456 6158 12316 24632 33869 49264 67738 95449 135476 185131 190898 270952 370262 381796 541904 740524 763592 1049939 1481048 1527184 2036441 2099878 2962096 4072882 4199756 5739061 8145764 8399512 11478122 16291528 16799024 22956244 32583056 45912488 63129671 91824976 126259342 252518684 505037368 570018349 1010074736 1140036698 2280073396 4560146792 6270201839 9120293584 12540403678 17670568819 25080807356 35341137638 50161614712 70682275276 100323229424 141364550552 194376257009 282729101104 388752514018 777505028036 1555010056072 3110020112144