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106523134444153 = 71729149229904643
BaseRepresentation
bin11000001110000111011001…
…100101101100001001111001
3111222011111211101121022201101
4120032013121211230021321
5102430233334404203103
61014320015152251401
731303020401103130
oct3016073145541171
9458144741538641
10106523134444153
1130a3a231383359
12bb44a92240b61
13475911c4c61cb
141c43a6650c917
15c4ada03a5a1d
hex60e1d996c279

106523134444153 has 64 divisors (see below), whose sum is σ = 134828141760000. Its totient is φ = 82054532173824.

The previous prime is 106523134444121. The next prime is 106523134444193. The reversal of 106523134444153 is 351444431325601.

It is not a de Polignac number, because 106523134444153 - 25 = 106523134444121 is a prime.

It is a super-2 number, since 2×1065231344441532 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106523134444193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117299250 + ... + 118203892.

It is an arithmetic number, because the mean of its divisors is an integer number (2106689715000).

Almost surely, 2106523134444153 is an apocalyptic number.

It is an amenable number.

106523134444153 is a deficient number, since it is larger than the sum of its proper divisors (28305007315847).

106523134444153 is a wasteful number, since it uses less digits than its factorization.

106523134444153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905074.

The product of its (nonzero) digits is 2073600, while the sum is 46.

Adding to 106523134444153 its reverse (351444431325601), we get a palindrome (457967565769754).

The spelling of 106523134444153 in words is "one hundred six trillion, five hundred twenty-three billion, one hundred thirty-four million, four hundred forty-four thousand, one hundred fifty-three".

Divisors: 1 7 17 29 119 149 203 229 493 1043 1603 2533 3451 3893 4321 6641 17731 27251 30247 34121 46487 73457 112897 238847 514199 580057 790279 904643 989509 4060399 6332501 6926563 15378931 16821653 26234647 107652517 117751571 134791807 183642529 207163247 445988999 943542649 1450142729 2291460719 3121922993 3521775199 3908962403 6007734163 16040225033 24652426393 27362736821 30867323803 42054139141 66452360851 102131480771 216071266621 465166525957 524744504651 714920365397 895152390287 3673211532557 6266066732009 15217590634879 106523134444153