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311242124420 = 225174347452953
BaseRepresentation
bin1001000011101110111…
…10011110110010000100
31002202100222222010020122
410201313132132302010
520044410440440140
6354552130521112
731325604256313
oct4416736366204
91082328863218
10311242124420
1110aaa7079817
12503a2436198
1323471c6c036
14110c823c27a
158169628ab5
hex487779ec84

311242124420 has 96 divisors (see below), whose sum is σ = 723218969088. Its totient is φ = 112013217792.

The previous prime is 311242124419. The next prime is 311242124441. The reversal of 311242124420 is 24421242113.

It is a self number, because there is not a number n which added to its sum of digits gives 311242124420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460664 + ... + 913616.

It is an arithmetic number, because the mean of its divisors is an integer number (7533530928).

Almost surely, 2311242124420 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 311242124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361609484544).

311242124420 is an abundant number, since it is smaller than the sum of its proper divisors (411976844668).

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

311242124420 is a wasteful number, since it uses less digits than its factorization.

311242124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453069 (or 453067 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 311242124420 its reverse (24421242113), we get a palindrome (335663366533).

The spelling of 311242124420 in words is "three hundred eleven billion, two hundred forty-two million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 47 68 85 86 94 170 172 188 215 235 340 430 470 731 799 860 940 1462 1598 2021 2924 3196 3655 3995 4042 7310 7990 8084 10105 14620 15980 20210 34357 40420 68714 137428 171785 343570 452953 687140 905906 1811812 2264765 4529530 7700201 9059060 15400402 19476979 21288791 30800804 38501005 38953958 42577582 77002010 77907916 85155164 97384895 106443955 154004020 194769790 212887910 331108643 361909447 389539580 425775820 662217286 723818894 915418013 1324434572 1447637788 1655543215 1809547235 1830836026 3311086430 3619094470 3661672052 4577090065 6622172860 7238188940 9154180130 15562106221 18308360260 31124212442 62248424884 77810531105 155621062210 311242124420