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5301123114100 = 225211103137341521
BaseRepresentation
bin100110100100100001110…
…0011110110010001110100
3200202210010101101021001211
41031021003203312101310
51143323200004122400
615135145145531204
71054664525666602
oct115110343662164
920683111337054
105301123114100
111764214886030
127174874a3b04
132c5b807a7518
1414480bb22872
1592d637cedba
hex4d2438f6474

5301123114100 has 144 divisors (see below), whose sum is σ = 12763567829376. Its totient is φ = 1895026176000.

The previous prime is 5301123114031. The next prime is 5301123114101. The reversal of 5301123114100 is 14113211035.

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 (5301123114101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15351340 + ... + 15692860.

It is an arithmetic number, because the mean of its divisors is an integer number (88635887704).

Almost surely, 25301123114100 is an apocalyptic number.

5301123114100 is a gapful number since it is divisible by the number (50) 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 5301123114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381783914688).

5301123114100 is an abundant number, since it is smaller than the sum of its proper divisors (7462444715276).

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

5301123114100 is a wasteful number, since it uses less digits than its factorization.

5301123114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341786 (or 341779 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 5301123114100 its reverse (14113211035), we get a palindrome (5315236325135).

The spelling of 5301123114100 in words is "five trillion, three hundred one billion, one hundred twenty-three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 137 206 220 274 275 412 515 548 550 685 1030 1100 1133 1370 1507 2060 2266 2575 2740 3014 3425 4532 5150 5665 6028 6850 7535 10300 11330 13700 14111 15070 22660 28222 28325 30140 37675 56444 56650 70555 75350 113300 141110 150700 155221 282220 310442 341521 352775 620884 683042 705550 776105 1366084 1411100 1552210 1707605 3104420 3415210 3756731 3880525 6830420 7513462 7761050 8538025 15026924 15522100 17076050 18783655 34152100 35176663 37567310 46788377 70353326 75134620 93576754 93918275 140706652 175883315 187153508 187836550 233941885 351766630 375673100 386943293 467883770 514672147 703533260 773886586 879416575 935767540 1029344294 1169709425 1547773172 1758833150 1934716465 2058688588 2339418850 2573360735 3517666300 3869432930 4678837700 4819202831 5146721470 7738865860 9638405662 9673582325 10293442940 12866803675 19276811324 19347164650 24096014155 25733607350 38694329300 48192028310 51467214700 53011231141 96384056620 106022462282 120480070775 212044924564 240960141550 265056155705 481920283100 530112311410 1060224622820 1325280778525 2650561557050 5301123114100