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106582232304822 = 23193163391475763
BaseRepresentation
bin11000001110111110011100…
…000110001000110010110110
3111222101011101000122200221210
4120032332130012020302312
5102432220402432223242
61014403111312422250
731310212034452041
oct3016763406106266
9458334330580853
10106582232304822
1130a622a85a781a
12bb54425b47986
13476187a08b031
141c46871249c58
15c4c6ad807d9c
hex60ef9c188cb6

106582232304822 has 64 divisors (see below), whose sum is σ = 231625969827840. Its totient is φ = 32571237434400.

The previous prime is 106582232304799. The next prime is 106582232304827. The reversal of 106582232304822 is 228403232285601.

It is a super-2 number, since 2×1065822323048222 (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 (106582232304827) 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 31 ways as a sum of consecutive naturals, for example, 223785913 + ... + 224261675.

It is an arithmetic number, because the mean of its divisors is an integer number (3619155778560).

Almost surely, 2106582232304822 is an apocalyptic number.

106582232304822 is an abundant number, since it is smaller than the sum of its proper divisors (125043737523018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106582232304822 is a wasteful number, since it uses less digits than its factorization.

106582232304822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539209.

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 106582232304822 in words is "one hundred six trillion, five hundred eighty-two billion, two hundred thirty-two million, three hundred four thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 1178 1767 3534 63391 126782 190173 380346 475763 951526 1204429 1427289 1965121 2408858 2854578 3613287 3930242 5895363 7226574 9039497 11790726 14748653 18078994 27118491 29497306 37337299 44245959 54236982 74674598 88491918 112011897 224023794 280224407 560448814 840673221 1681346442 30159092333 60318184666 90477276999 180954553998 573022754327 934931862323 1146045508654 1719068262981 1869863724646 2804795586969 3438136525962 5609591173938 17763705384137 35527410768274 53291116152411 106582232304822