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13401212430 = 23519234872099
BaseRepresentation
bin11000111101100011…
…00100011000001110
31021120221202010110010
430132301210120032
5204421202244210
610053442254050
7653044266114
oct143661443016
937527663403
1013401212430
1157576a9281
122720057326
1313575490c8
14911b67ab4
155367a4920
hex31ec6460e

13401212430 has 128 divisors (see below), whose sum is σ = 35417088000. Its totient is φ = 3230181504.

The previous prime is 13401212381. The next prime is 13401212443. The reversal of 13401212430 is 3421210431.

It is a junction number, because it is equal to n+sod(n) for n = 13401212397 and 13401212406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6383521 + ... + 6385619.

It is an arithmetic number, because the mean of its divisors is an integer number (276696000).

Almost surely, 213401212430 is an apocalyptic number.

13401212430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401212430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708544000).

13401212430 is an abundant number, since it is smaller than the sum of its proper divisors (22015875570).

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

13401212430 is a wasteful number, since it uses less digits than its factorization.

13401212430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13401212430 its reverse (3421210431), we get a palindrome (16822422861).

The spelling of 13401212430 in words is "thirteen billion, four hundred one million, two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 487 570 690 874 974 1311 1461 2099 2185 2435 2622 2922 4198 4370 4870 6297 6555 7305 9253 10495 11201 12594 13110 14610 18506 20990 22402 27759 31485 33603 39881 46265 48277 55518 56005 62970 67206 79762 92530 96554 112010 119643 138795 144831 168015 199405 212819 239286 241385 277590 289662 336030 398810 425638 482770 598215 638457 724155 917263 1022213 1064095 1196430 1276914 1448310 1834526 2044426 2128190 2751789 3066639 3192285 4586315 5111065 5503578 6133278 6384570 9172630 10222130 13758945 15333195 19422047 23510899 27517890 30666390 38844094 47021798 58266141 70532697 97110235 116532282 117554495 141065394 194220470 235108990 291330705 352663485 446707081 582661410 705326970 893414162 1340121243 2233535405 2680242486 4467070810 6700606215 13401212430