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213441203304 = 2334751139203
BaseRepresentation
bin1100011011001000010…
…1100100110001101000
3202101221002021120010000
43012302011210301220
511444111422001204
6242015321423000
721264162202440
oct3066205446150
9671832246100
10213441203304
1182579aa418a
123544903aa60
1317186c2a904
14a48b299120
1558434c8039
hex31b2164c68

213441203304 has 160 divisors (see below), whose sum is σ = 683445597120. Its totient is φ = 60964648704.

The previous prime is 213441203243. The next prime is 213441203333. The reversal of 213441203304 is 403302144312.

213441203304 is a `hidden beast` number, since 2 + 1 + 344 + 12 + 0 + 3 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23187967 + ... + 23197169.

It is an arithmetic number, because the mean of its divisors is an integer number (4271534982).

Almost surely, 2213441203304 is an apocalyptic number.

213441203304 is a gapful number since it is divisible by the number (24) 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 213441203304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341722798560).

213441203304 is an abundant number, since it is smaller than the sum of its proper divisors (470004393816).

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

213441203304 is a wasteful number, since it uses less digits than its factorization.

213441203304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14341 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213441203304 its reverse (403302144312), we get a palindrome (616743347616).

The spelling of 213441203304 in words is "two hundred thirteen billion, four hundred forty-one million, two hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 5113 9203 10226 15339 18406 20452 27609 30678 35791 36812 40904 46017 55218 61356 64421 71582 73624 82827 92034 107373 110436 122712 128842 138051 143164 165654 184068 193263 214746 220872 248481 257684 276102 286328 322119 331308 368136 386526 414153 429492 496962 515368 552204 579789 644238 662616 745443 773052 828306 858984 966357 993924 1104408 1159578 1288476 1490886 1546104 1656612 1739367 1932714 1987848 2319156 2576952 2899071 2981772 3313224 3478734 3865428 4638312 5218101 5798142 5963544 6957468 7730856 10436202 11596284 13914936 20872404 23192568 41744808 47054939 94109878 141164817 188219756 282329634 329384573 376439512 423494451 564659268 658769146 846988902 988153719 1129318536 1270483353 1317538292 1693977804 1976307438 2540966706 2635076584 2964461157 3387955608 3811450059 3952614876 5081933412 5928922314 7622900118 7905229752 8893383471 10163866824 11857844628 15245800236 17786766942 23715689256 26680150413 30491600472 35573533884 53360300826 71147067768 106720601652 213441203304