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218701107812 = 221129723319993
BaseRepresentation
bin1100101110101110011…
…0100001001001100100
3202220111122201101122002
43023223212201021210
512040344440422222
6244245255424432
721541421513135
oct3135346411144
9686448641562
10218701107812
118482908a300
1236476685118
1317814889145
14a829a93c8c
155a5016d392
hex32eb9a1264

218701107812 has 72 divisors (see below), whose sum is σ = 426865741848. Its totient is φ = 97957601280.

The previous prime is 218701107811. The next prime is 218701107847.

218701107812 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 13868830756 + 204832277056 = 117766^2 + 452584^2 .

It is not an unprimeable number, because it can be changed into a prime (218701107811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10928888 + ... + 10948880.

It is an arithmetic number, because the mean of its divisors is an integer number (5928690859).

Almost surely, 2218701107812 is an apocalyptic number.

218701107812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218701107812 is a deficient number, since it is larger than the sum of its proper divisors (208164634036).

218701107812 is a wasteful number, since it uses less digits than its factorization.

218701107812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20349 (or 20336 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 38.

The spelling of 218701107812 in words is "two hundred eighteen billion, seven hundred one million, one hundred seven thousand, eight hundred twelve".

Divisors: 1 2 4 11 22 44 97 121 194 233 242 388 466 484 932 1067 2134 2563 4268 5126 10252 11737 19993 22601 23474 28193 39986 45202 46948 56386 79972 90404 112772 219923 248611 439846 497222 879692 994444 1939321 2419153 2734721 3878642 4658369 4838306 5469442 7757284 9316738 9676612 10938884 18633476 21332531 42665062 51242059 85330124 102484118 204968236 234657841 451861793 469315682 563662649 903723586 938631364 1127325298 1807447172 2254650596 4970479723 9940959446 19881918892 54675276953 109350553906 218701107812