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106024322324223 = 33372713133173947
BaseRepresentation
bin11000000110110110110110…
…000100011101011011111111
3111220101211022022121011121000
4120012312312010131123333
5102344100303003333343
61013254522401341343
731222001355042612
oct3006666604353377
9456354268534530
10106024322324223
11308677319a3826
12ba84283037853
1347210874b8164
141c27866d82179
15c3ce08bb6ed3
hex606db611d6ff

106024322324223 has 128 divisors (see below), whose sum is σ = 162984537354240. Its totient is φ = 68067143838720.

The previous prime is 106024322324209. The next prime is 106024322324237. The reversal of 106024322324223 is 322423223420601.

106024322324223 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 4 + 3 + 223 + 2 + 422 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (106024322324209) and next prime (106024322324237).

It is not a de Polignac number, because 106024322324223 - 26 = 106024322324159 is a prime.

It is a super-2 number, since 2×1060243223242232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106024322324293) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26862000136 + ... + 26862004082.

It is an arithmetic number, because the mean of its divisors is an integer number (1273316698080).

Almost surely, 2106024322324223 is an apocalyptic number.

106024322324223 is a deficient number, since it is larger than the sum of its proper divisors (56960215030017).

106024322324223 is a wasteful number, since it uses less digits than its factorization.

106024322324223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 106024322324223 its reverse (322423223420601), we get a palindrome (428447545744824).

The spelling of 106024322324223 in words is "one hundred six trillion, twenty-four billion, three hundred twenty-two million, three hundred twenty-four thousand, two hundred twenty-three".

Divisors: 1 3 9 27 37 111 271 313 317 333 813 939 951 999 2439 2817 2853 3947 7317 8451 8559 10027 11581 11729 11841 30081 34743 35187 35523 84823 85907 90243 99221 104229 105561 106569 146039 254469 257721 270729 297663 312687 316683 438117 763407 773163 892989 1069637 1235411 1251199 1314351 2290221 2319489 2678967 3138451 3178559 3208911 3671177 3706233 3753597 3943053 9415353 9535677 9626733 11013531 11118699 11260791 26888891 28246059 28607031 28880199 33040593 33356097 33782373 39576569 45710207 46294363 80666673 84738177 85821093 99121779 118729707 137130621 138883089 242000019 334796381 339074929 356189121 391625287 411391863 416649267 726000057 994888967 1004389143 1017224787 1068567363 1174875861 1234175589 1249947801 2984666901 3013167429 3051674361 3524627583 8954000703 9039502287 9155023083 10573882749 12387466097 12545772373 14490135619 26862002109 37162398291 37637317119 43470406857 106130452777 111487194873 112911951357 130411220571 318391358331 334461584619 338735854071 391233661713 955174074993 2865522224979 3926826752749 11780480258247 35341440774741 106024322324223