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124314213320 = 235112234992539
BaseRepresentation
bin111001111000110110…
…1000101101111001000
3102212212200010100120222
41303301231011233020
54014043414311240
6133035325005212
711660423243543
oct1636155055710
9385780110528
10124314213320
11487a3150480
12201146b3808
13b951c4210b
1460342cd85a
153378ae5eb5
hex1cf1b45bc8

124314213320 has 128 divisors (see below), whose sum is σ = 307238400000. Its totient is φ = 44894580480.

The previous prime is 124314213301. The next prime is 124314213341. The reversal of 124314213320 is 23312413421.

It is a self number, because there is not a number n which added to its sum of digits gives 124314213320.

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, 48960611 + ... + 48963149.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300000).

Almost surely, 2124314213320 is an apocalyptic number.

124314213320 is a gapful number since it is divisible by the number (10) 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 124314213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200000).

124314213320 is an abundant number, since it is smaller than the sum of its proper divisors (182924186680).

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

124314213320 is a wasteful number, since it uses less digits than its factorization.

124314213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 124314213320 its reverse (23312413421), we get a palindrome (147626626741).

The spelling of 124314213320 in words is "one hundred twenty-four billion, three hundred fourteen million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 440 446 499 892 998 1115 1784 1996 2230 2453 2495 2539 3992 4460 4906 4990 5078 5489 8920 9812 9980 10156 10978 12265 12695 19624 19960 20312 21956 24530 25390 27445 27929 43912 49060 50780 54890 55858 98120 101560 109780 111277 111716 139645 219560 222554 223432 279290 445108 556385 558580 566197 890216 1112770 1117160 1132394 1224047 1266961 2225540 2264788 2448094 2533922 2830985 4451080 4529576 4896188 5067844 5661970 6120235 6228167 6334805 9792376 10135688 11323940 12240470 12456334 12669610 13936571 22647880 24480940 24912668 25339220 27873142 31140835 48961880 49825336 50678440 55746284 62281670 69682855 111492568 124563340 139365710 249126680 278731420 282532303 557462840 565064606 1130129212 1412661515 2260258424 2825323030 3107855333 5650646060 6215710666 11301292120 12431421332 15539276665 24862842664 31078553330 62157106660 124314213320