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103421302224 = 2436197449811
BaseRepresentation
bin110000001010001100…
…0111101010111010000
3100212221121102111120220
41200110120331113100
53143301323132344
6115302221233040
710320606364362
oct1402430752720
9325847374526
10103421302224
113a9516a10a9
1218063702780
1399a2583626
1450115b4d32
152a5479dc19
hex181463d5d0

103421302224 has 160 divisors (see below), whose sum is σ = 275301129600. Its totient is φ = 33443020800.

The previous prime is 103421302181. The next prime is 103421302253. The reversal of 103421302224 is 422203124301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103421302194 and 103421302203.

It is a congruent number.

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, 127522779 + ... + 127523589.

It is an arithmetic number, because the mean of its divisors is an integer number (1720632060).

Almost surely, 2103421302224 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 103421302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137650564800).

103421302224 is an abundant number, since it is smaller than the sum of its proper divisors (171879827376).

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

103421302224 is a wasteful number, since it uses less digits than its factorization.

103421302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103421302224 its reverse (422203124301), we get a palindrome (525624426525).

The spelling of 103421302224 in words is "one hundred three billion, four hundred twenty-one million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 97 122 183 194 244 291 366 388 449 488 582 732 776 811 898 976 1164 1347 1464 1552 1622 1796 2328 2433 2694 2928 3244 3592 4656 4866 5388 5917 6488 7184 9732 10776 11834 12976 17751 19464 21552 23668 27389 35502 38928 43553 47336 49471 54778 71004 78667 82167 87106 94672 98942 109556 130659 142008 148413 157334 164334 174212 197884 219112 236001 261318 284016 296826 314668 328668 348424 364139 395768 438224 472002 522636 593652 629336 657336 696848 728278 791536 944004 1045272 1092417 1187304 1258672 1314672 1456556 1888008 2090544 2184834 2374608 2656733 2913112 3776016 4369668 4798687 5313466 5826224 7970199 8739336 9597374 10626932 14396061 15940398 17478672 19194748 21253864 22212479 28792122 31880796 35321483 38389496 42507728 44424958 57584244 63761592 66637437 70642966 76778992 88849916 105964449 115168488 127523184 133274874 141285932 177699832 211928898 230336976 266549748 282571864 355399664 423857796 533099496 565143728 847715592 1066198992 1695431184 2154610463 4309220926 6463831389 8618441852 12927662778 17236883704 25855325556 34473767408 51710651112 103421302224