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99881218899 = 327112471491871
BaseRepresentation
bin101110100000101100…
…0100111001101010011
3100112210220010122012200
41131001120213031103
53114024043001044
6113515041054243
710134102231630
oct1350130471523
9315726118180
1099881218899
11393a5387100
1217436027383
13955a021577
144b97381187
1528e8ac5369
hex1741627353

99881218899 has 144 divisors (see below), whose sum is σ = 186433228800. Its totient is φ = 50414601600.

The previous prime is 99881218897. The next prime is 99881218907.

99881218899 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99881218899 - 21 = 99881218897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99881218897) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53382934 + ... + 53384804.

It is an arithmetic number, because the mean of its divisors is an integer number (1294675200).

Almost surely, 299881218899 is an apocalyptic number.

99881218899 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99881218899 is a deficient number, since it is larger than the sum of its proper divisors (86552009901).

99881218899 is a wasteful number, since it uses less digits than its factorization.

99881218899 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2088 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 72.

The spelling of 99881218899 in words is "ninety-nine billion, eight hundred eighty-one million, two hundred eighteen thousand, eight hundred ninety-nine".

Divisors: 1 3 7 9 11 21 33 47 63 77 99 121 141 149 231 329 363 423 447 517 693 847 987 1043 1089 1341 1551 1639 1871 2541 2961 3129 3619 4653 4917 5613 5687 7003 7623 9387 10857 11473 13097 14751 16839 17061 18029 20581 21009 32571 34419 39291 39809 49021 51183 54087 61743 63027 77033 87937 103257 117873 119427 126203 144067 147063 162261 185229 226391 231099 263811 278779 358281 378609 432201 441189 539231 615559 679173 693297 791433 836337 847363 967307 1135827 1296603 1584737 1617693 1846677 1951453 2037519 2509011 2542089 2901921 3066569 4754211 4853079 5540031 5854359 5931541 6771149 7626267 8705763 9199707 10640377 13102613 14262633 17563077 17794623 20313447 21465983 27599121 31921131 33732259 39307839 53383869 60940341 64397949 74482639 91718291 95763393 101196777 117923517 144128743 193193847 223447917 236125813 275154873 303590331 432386229 670343751 708377439 825464619 1008901201 1297158687 1585416173 2125132317 3026703603 4756248519 9080110809 11097913211 14268745557 33293739633 99881218899