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127282120010 = 25171017413053
BaseRepresentation
bin111011010001010011…
…0110000010101001010
3110011112111202122011222
41312202212300111022
54041133210320020
6134250025322042
712124112111663
oct1664246602512
9404474678158
10127282120010
1149a86490721
1220802636322
13c005a9a916
14623654036a
15349e44ab25
hex1da29b054a

127282120010 has 32 divisors (see below), whose sum is σ = 244986608592. Its totient is φ = 47443532800.

The previous prime is 127282119983. The next prime is 127282120019. The reversal of 127282120010 is 10021282721.

It can be written as a sum of positive squares in 8 ways, for example, as 100126046329 + 27156073681 = 316427^2 + 164791^2 .

It is not an unprimeable number, because it can be changed into a prime (127282120019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3689357 + ... + 3723696.

Almost surely, 2127282120010 is an apocalyptic number.

127282120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127282120010 is a deficient number, since it is larger than the sum of its proper divisors (117704488582).

127282120010 is a wasteful number, since it uses less digits than its factorization.

127282120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413178.

The product of its (nonzero) digits is 896, while the sum is 26.

The spelling of 127282120010 in words is "one hundred twenty-seven billion, two hundred eighty-two million, one hundred twenty thousand, ten".

Divisors: 1 2 5 10 17 34 85 101 170 202 505 1010 1717 3434 8585 17170 7413053 14826106 37065265 74130530 126021901 252043802 630109505 748718353 1260219010 1497436706 3743591765 7487183530 12728212001 25456424002 63641060005 127282120010