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102312010105 = 5537326919661
BaseRepresentation
bin101111101001001000…
…1010110000101111001
3100210002022002121212121
41133102101112011321
53134013333310410
6115000153241241
710251246510514
oct1372221260571
9323068077777
10102312010105
113a43250a558
12179b4103221
1398567cb366
144d48137d7b
1529dc1ce9da
hex17d2456179

102312010105 has 32 divisors (see below), whose sum is σ = 127282350240. Its totient is φ = 78906746880.

The previous prime is 102312010093. The next prime is 102312010111. The reversal of 102312010105 is 501010213201.

It can be written as a sum of positive squares in 16 ways, for example, as 27972897001 + 74339113104 = 167251^2 + 272652^2 .

It is not a de Polignac number, because 102312010105 - 221 = 102309912953 is a prime.

It is a super-2 number, since 2×1023120101052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5193975 + ... + 5213635.

It is an arithmetic number, because the mean of its divisors is an integer number (3977573445).

Almost surely, 2102312010105 is an apocalyptic number.

It is an amenable number.

102312010105 is a deficient number, since it is larger than the sum of its proper divisors (24970340135).

102312010105 is a wasteful number, since it uses less digits than its factorization.

102312010105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20061.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 102312010105 its reverse (501010213201), we get a palindrome (603322223306).

The spelling of 102312010105 in words is "one hundred two billion, three hundred twelve million, ten thousand, one hundred five".

Divisors: 1 5 53 73 265 269 365 1345 3869 14257 19345 19637 19661 71285 98185 98305 1040761 1042033 1435253 5203805 5210165 5288809 7176265 26444045 76068409 280306877 380342045 386083057 1401534385 1930415285 20462402021 102312010105