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106068482127 = 3319719941433
BaseRepresentation
bin110001011001000101…
…1001001100001001111
3101010210002120011202000
41202302023021201033
53214212012412002
6120421023403343
710443322136136
oct1426213114117
9333702504660
10106068482127
1140a8a990593
1218682153553
13a004b3517a
1451c2db891d
152b5bd9d61c
hex18b22c984f

106068482127 has 16 divisors (see below), whose sum is σ = 157936157280. Its totient is φ = 70353372096.

The previous prime is 106068482119. The next prime is 106068482131. The reversal of 106068482127 is 721284860601.

106068482127 is a `hidden beast` number, since 10 + 606 + 8 + 4 + 8 + 2 + 1 + 27 = 666.

It is not a de Polignac number, because 106068482127 - 23 = 106068482119 is a prime.

It is a super-2 number, since 2×1060684821272 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106068482137) 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, 9965398 + ... + 9976035.

It is an arithmetic number, because the mean of its divisors is an integer number (9871009830).

Almost surely, 2106068482127 is an apocalyptic number.

106068482127 is a deficient number, since it is larger than the sum of its proper divisors (51867675153).

106068482127 is a wasteful number, since it uses less digits than its factorization.

106068482127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19941639 (or 19941633 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 106068482127 in words is "one hundred six billion, sixty-eight million, four hundred eighty-two thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 197 591 1773 5319 19941433 59824299 179472897 538418691 3928462301 11785386903 35356160709 106068482127