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8122002002218 = 2133131227781293
BaseRepresentation
bin111011000110000110100…
…0010110101000100101010
31001202110022021200021010001
41312030031002311010222
52031032330003032333
625135110214213214
71465536531632626
oct166141502650452
931673267607101
108122002002218
112651581432245
12ab212205420a
1346bb947a7010
1420116d842186
15e1412a76b7d
hex7630d0b512a

8122002002218 has 32 divisors (see below), whose sum is σ = 13163308529616. Its totient is φ = 3736289576448.

The previous prime is 8122002002189. The next prime is 8122002002221.

8122002002218 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 315694525689 + 7806307476529 = 561867^2 + 2793977^2 .

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 15 ways as a sum of consecutive naturals, for example, 99869580 + ... + 99950872.

Almost surely, 28122002002218 is an apocalyptic number.

8122002002218 is a deficient number, since it is larger than the sum of its proper divisors (5041306527398).

8122002002218 is a wasteful number, since it uses less digits than its factorization.

8122002002218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93898.

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 8122002002218 in words is "eight trillion, one hundred twenty-two billion, two million, two thousand, two hundred eighteen".

Divisors: 1 2 13 26 313 626 4069 8138 12277 24554 81293 159601 162586 319202 1056809 2113618 3842701 7685402 25444709 49955113 50889418 99910226 330781217 661562434 998034161 1996068322 12974444093 25948888186 312384692393 624769384786 4061001001109 8122002002218