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106101056614 = 2722385954799
BaseRepresentation
bin110001011010000011…
…1011010010001100110
3101010212100212010112111
41202310013122101212
53214243332302424
6120424145511234
710444166046400
oct1426407322146
9333770763474
10106101056614
1140aa730a253
121869104251a
13a00b7cbc07
1451c7457b70
152b5eb85194
hex18b41da466

106101056614 has 48 divisors (see below), whose sum is σ = 193413312000. Its totient is φ = 43443416016.

The previous prime is 106101056597. The next prime is 106101056671. The reversal of 106101056614 is 416650101601.

It is a super-2 number, since 2×1061010566142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1908787 + ... + 1963585.

It is an arithmetic number, because the mean of its divisors is an integer number (4029444000).

Almost surely, 2106101056614 is an apocalyptic number.

106101056614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106101056614 is a deficient number, since it is larger than the sum of its proper divisors (87312255386).

106101056614 is a wasteful number, since it uses less digits than its factorization.

106101056614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55697 (or 55690 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 106101056614 in words is "one hundred six billion, one hundred one million, fifty-six thousand, six hundred fourteen".

Divisors: 1 2 7 14 23 46 49 98 161 322 859 1127 1718 2254 6013 12026 19757 39514 42091 54799 84182 109598 138299 276598 383593 767186 968093 1260377 1936186 2520754 2685151 5370302 8822639 17645278 47072341 61758473 94144682 123516946 329506387 659012774 1082663843 2165327686 2306544709 4613089418 7578646901 15157293802 53050528307 106101056614