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213100381116 = 22337292335171
BaseRepresentation
bin1100011001110111000…
…1011100001110111100
3202101001022221222222000
43012131301130032330
511442412144143431
6241521424422300
721252553231650
oct3063561341674
9671038858860
10213100381116
1182414678457
1235372a77990
1317131438c8c
14a457cdaa60
1558236039e6
hex319dc5c3bc

213100381116 has 144 divisors (see below), whose sum is σ = 653933978880. Its totient is φ = 58786136640.

The previous prime is 213100381097. The next prime is 213100381147. The reversal of 213100381116 is 611183001312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213100381116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468211 + ... + 803381.

Almost surely, 2213100381116 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 213100381116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326966989440).

213100381116 is an abundant number, since it is smaller than the sum of its proper divisors (440833597764).

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

213100381116 is a wasteful number, since it uses less digits than its factorization.

213100381116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335249 (or 335212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 213100381116 its reverse (611183001312), we get a palindrome (824283382428).

The spelling of 213100381116 in words is "two hundred thirteen billion, one hundred million, three hundred eighty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 841 1044 1218 1566 1682 1827 2436 2523 3132 3364 3654 5046 5481 5887 7308 7569 10092 10962 11774 15138 17661 21924 22707 23548 30276 35322 45414 52983 70644 90828 105966 158949 211932 317898 335171 635796 670342 1005513 1340684 2011026 2346197 3016539 4022052 4692394 6033078 7038591 9049617 9384788 9719959 12066156 14077182 18099234 19439918 21115773 28154364 29159877 36198468 38879836 42231546 58319754 63347319 68039713 84463092 87479631 116639508 126694638 136079426 174959262 204119139 253389276 262438893 272158852 281878811 349918524 408238278 524877786 563757622 612357417 816476556 845636433 1049755572 1127515244 1224714834 1691272866 1837072251 1973151677 2449429668 2536909299 3382545732 3674144502 3946303354 5073818598 5919455031 7348289004 7610727897 7892606708 10147637196 11838910062 15221455794 17758365093 23677820124 30442911588 35516730186 53275095279 71033460372 106550190558 213100381116