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320250240112 = 241129474393041
BaseRepresentation
bin1001010100100000110…
…01101101110001110000
31010121121210022210220011
410222100121231301300
520221333030140422
6403042042024304
732065046061265
oct4522031556160
91117553283804
10320250240112
111138a9a03430
12520971a8094
13242793012ca
141170076726c
1584e53aa077
hex4a9066dc70

320250240112 has 160 divisors (see below), whose sum is σ = 716996966400. Its totient is φ = 137199820800.

The previous prime is 320250240097. The next prime is 320250240113. The reversal of 320250240112 is 211042052023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320250240113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105309312 + ... + 105312352.

It is an arithmetic number, because the mean of its divisors is an integer number (4481231040).

Almost surely, 2320250240112 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 320250240112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358498483200).

320250240112 is an abundant number, since it is smaller than the sum of its proper divisors (396746726288).

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

320250240112 is a wasteful number, since it uses less digits than its factorization.

320250240112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 320250240112 its reverse (211042052023), we get a palindrome (531292292135).

The spelling of 320250240112 in words is "three hundred twenty billion, two hundred fifty million, two hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 47 58 88 94 116 176 188 232 319 376 439 464 517 638 752 878 1034 1276 1363 1756 2068 2552 2726 3041 3512 4136 4829 5104 5452 6082 7024 8272 9658 10904 12164 12731 14993 19316 20633 21808 24328 25462 29986 33451 38632 41266 48656 50924 59972 66902 77264 82532 88189 101848 119944 133804 140041 142927 165064 176378 203696 226963 239888 267608 280082 285854 330128 352756 453926 535216 560164 571708 598357 705512 907852 970079 1120328 1143416 1196714 1334999 1411024 1572197 1815704 1940158 2240656 2286832 2393428 2669998 3144394 3631408 3880316 4144883 4786856 5339996 6288788 6581927 7760632 8289766 9573712 10679992 12577576 13163854 14684989 15521264 16579532 21359984 25155152 26327708 29369978 33159064 38714971 45593713 52655416 58739956 62744953 66318128 77429942 91187426 105310832 117479912 125489906 154859884 182374852 234959824 250979812 309719768 364749704 425864681 501959624 619439536 690194483 729499408 851729362 1003919248 1380388966 1703458724 1819603637 2760777932 3406917448 3639207274 5521555864 6813834896 7278414548 11043111728 14556829096 20015640007 29113658192 40031280014 80062560028 160125120056 320250240112