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106100565214 = 2728341963913
BaseRepresentation
bin110001011010000010…
…1100010010011011110
3101010212022221011110111
41202310011202103132
53214243221041324
6120424131200234
710444161631630
oct1426405422336
9333768834414
10106100565214
1140aa7004036
1218690a4607a
13a00b689347
1451c736aa50
152b5ead9794
hex18b41624de

106100565214 has 32 divisors (see below), whose sum is σ = 182967886080. Its totient is φ = 45202145472.

The previous prime is 106100565211. The next prime is 106100565227. The reversal of 106100565214 is 412565001601.

It is a super-2 number, since 2×1061005652142 (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 (106100565211) 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, 1628122 + ... + 1692034.

It is an arithmetic number, because the mean of its divisors is an integer number (5717746440).

Almost surely, 2106100565214 is an apocalyptic number.

106100565214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106100565214 is a deficient number, since it is larger than the sum of its proper divisors (76867320866).

106100565214 is a wasteful number, since it uses less digits than its factorization.

106100565214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64624.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 106100565214 its reverse (412565001601), we get a palindrome (518665566815).

The spelling of 106100565214 in words is "one hundred six billion, one hundred million, five hundred sixty-five thousand, two hundred fourteen".

Divisors: 1 2 7 14 283 419 566 838 1981 2933 3962 5866 63913 118577 127826 237154 447391 830039 894782 1660078 18087379 26779547 36174758 53559094 126611653 187456829 253223306 374913658 7578611801 15157223602 53050282607 106100565214