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241334001300 = 223527216417279
BaseRepresentation
bin1110000011000010100…
…0001001111010010100
3212001220222111111202110
43200300220021322110
512423223001020200
6302511201111020
723302324110300
oct3406050117224
9761828444673
10241334001300
1193392830157
123a932328470
13199b0882a02
14b975900d00
156427115b50
hex3830a09e94

241334001300 has 108 divisors (see below), whose sum is σ = 812261345280. Its totient is φ = 55162054080.

The previous prime is 241334001299. The next prime is 241334001313. The reversal of 241334001300 is 3100433142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8193940 + ... + 8223339.

Almost surely, 2241334001300 is an apocalyptic number.

241334001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241334001300 is an abundant number, since it is smaller than the sum of its proper divisors (570927343980).

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

241334001300 is a wasteful number, since it uses less digits than its factorization.

241334001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16417310 (or 16417296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 241334001300 its reverse (3100433142), we get a palindrome (244434434442).

The spelling of 241334001300 in words is "two hundred forty-one billion, three hundred thirty-four million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 16417279 32834558 49251837 65669116 82086395 98503674 114920953 164172790 197007348 229841906 246259185 328345580 344762859 410431975 459683812 492518370 574604765 689525718 804446671 820863950 985036740 1149209530 1231295925 1379051436 1608893342 1641727900 1723814295 2298419060 2413340013 2462591850 2873023825 3217786684 3447628590 4022233355 4826680026 4925183700 5746047650 6895257180 8044466710 8619071475 9653360052 11492095300 12066700065 16088933420 17238142950 20111166775 24133400130 34476285900 40222333550 48266800260 60333500325 80444667100 120667000650 241334001300