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102312252805026 = 2311369132595689
BaseRepresentation
bin10111010000110101101101…
…011111000000111110100010
3111102020221210210220101122110
4113100311231133000332202
5101402240443204230101
61001333333341020150
730356550000533415
oct2720655537007642
9442227723811573
10102312252805026
112a666423485000
12b584972554656
134512008b55ab4
141b39d21c2bb7c
15bc659a9b6cd6
hex5d0d6d7c0fa2

102312252805026 has 128 divisors (see below), whose sum is σ = 225506094566400. Its totient is φ = 30943905379200.

The previous prime is 102312252805019. The next prime is 102312252805159. The reversal of 102312252805026 is 620508252213201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17984221590 + ... + 17984227278.

It is an arithmetic number, because the mean of its divisors is an integer number (1761766363800).

Almost surely, 2102312252805026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102312252805026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112753047283200).

102312252805026 is an abundant number, since it is smaller than the sum of its proper divisors (123193841761374).

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

102312252805026 is a wasteful number, since it uses less digits than its factorization.

102312252805026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9677 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 102312252805026 in words is "one hundred two trillion, three hundred twelve billion, two hundred fifty-two million, eight hundred five thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 691 726 1331 1382 2073 2662 3259 3993 4146 5689 6518 7601 7986 9777 11378 15202 17067 19554 22803 34134 35849 45606 62579 71698 83611 107547 125158 167222 187737 215094 250833 375474 394339 501666 688369 788678 919721 1183017 1376738 1839442 2065107 2251969 2366034 2759163 3931099 4130214 4337729 4503938 5518326 6755907 7572059 7862198 8675458 11793297 13013187 13511814 15144118 18540451 22716177 23586594 24771659 26026374 37080902 43242089 45432354 49543318 55621353 74314977 86484178 111242706 129726267 148629954 203944961 259452534 272488249 407889922 475662979 544976498 611834883 817464747 951325958 1223669766 1426988937 1634929494 2243394571 2853977874 2997370739 4486789142 5232292769 5994741478 6730183713 8992112217 10464585538 12811451641 13460367426 15696878307 17984224434 24677340281 25622903282 31393756614 38434354923 49354680562 74032020843 76868709846 140925968051 148064041686 281851936102 422777904153 845555808306 1550185648561 3100371297122 4650556945683 9301113891366 17052042134171 34104084268342 51156126402513 102312252805026