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106678143341 = 71110157124023
BaseRepresentation
bin110001101011010000…
…0110100100101101101
3101012100120202011200222
41203112200310211231
53221434101041331
6121001322501125
710464404154110
oct1432640644555
9335316664628
10106678143341
1141273038030
12188123647a5
13a0a1234353
14523dd58577
152b95678b7b
hex18d683496d

106678143341 has 32 divisors (see below), whose sum is σ = 134559000576. Its totient is φ = 82155240000.

The previous prime is 106678143329. The next prime is 106678143347. The reversal of 106678143341 is 143341876601.

It is a cyclic number.

It is not a de Polignac number, because 106678143341 - 234 = 89498274157 is a prime.

It is a super-2 number, since 2×1066781433412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106678143292 and 106678143301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106678143347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4428656 + ... + 4452678.

It is an arithmetic number, because the mean of its divisors is an integer number (4204968768).

Almost surely, 2106678143341 is an apocalyptic number.

106678143341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106678143341 is a deficient number, since it is larger than the sum of its proper divisors (27880857235).

106678143341 is a wasteful number, since it uses less digits than its factorization.

106678143341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24713.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 106678143341 in words is "one hundred six billion, six hundred seventy-eight million, one hundred forty-three thousand, three hundred forty-one".

Divisors: 1 7 11 77 101 571 707 1111 3997 6281 7777 24023 43967 57671 168161 264253 403697 634381 1849771 2426323 4440667 13717133 16984261 26689553 96019931 150888463 186826871 1056219241 1385430433 9698013031 15239734763 106678143341