Search a number
-
+
311441122120 = 23525743969011
BaseRepresentation
bin1001000100000110101…
…01100110001101001000
31002202212212102020202211
410202003111212031020
520100312411401440
6355024000034504
731333541600452
oct4420325461510
91082785366684
10311441122120
11110099437727
1250439002a34
13234a426505b
141110683d2d2
15817bd35eea
hex4883566348

311441122120 has 64 divisors (see below), whose sum is σ = 705081801600. Its totient is φ = 123807252480.

The previous prime is 311441122087. The next prime is 311441122147. The reversal of 311441122120 is 21221144113.

It is a junction number, because it is equal to n+sod(n) for n = 311441122091 and 311441122100.

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, 4478415 + ... + 4547425.

It is an arithmetic number, because the mean of its divisors is an integer number (11016903150).

Almost surely, 2311441122120 is an apocalyptic number.

It is an amenable number.

311441122120 is an abundant number, since it is smaller than the sum of its proper divisors (393640679480).

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

311441122120 is a wasteful number, since it uses less digits than its factorization.

311441122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69718 (or 69714 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 311441122120 its reverse (21221144113), we get a palindrome (332662266233).

The spelling of 311441122120 in words is "three hundred eleven billion, four hundred forty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257 439 514 878 1028 1285 1756 2056 2195 2570 3512 4390 5140 8780 10280 17560 69011 112823 138022 225646 276044 345055 451292 552088 564115 690110 902584 1128230 1380220 2256460 2760440 4512920 17735827 30295829 35471654 60591658 70943308 88679135 121183316 141886616 151479145 177358270 242366632 302958290 354716540 605916580 709433080 1211833160 7786028053 15572056106 31144112212 38930140265 62288224424 77860280530 155720561060 311441122120