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105245214443244 = 223231103019155009
BaseRepresentation
bin10111111011100001001111…
…100111110000011011101100
3111210122100021221200001002100
4113323201033213300123230
5102243314144344140434
61011500552315455100
731111500345240561
oct2773411747603354
9453570257601070
10105245214443244
11305972768a82a7
12b979289457490
1346957729b08b5
141bdbc775aa868
15c27a09b12699
hex5fb84f9f06ec

105245214443244 has 72 divisors (see below), whose sum is σ = 274645026714240. Its totient is φ = 33946769664000.

The previous prime is 105245214443221. The next prime is 105245214443249. The reversal of 105245214443244 is 442344412542501.

105245214443244 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 4 + 521 + 44 + 43 + 2 + 44 = 666.

It is a super-2 number, since 2×1052452144432442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105245214443244.

It is not an unprimeable number, because it can be changed into a prime (105245214443249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6918412 + ... + 16073420.

It is an arithmetic number, because the mean of its divisors is an integer number (3814514259920).

Almost surely, 2105245214443244 is an apocalyptic number.

It is an amenable number.

105245214443244 is an abundant number, since it is smaller than the sum of its proper divisors (169399812270996).

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

105245214443244 is a wasteful number, since it uses less digits than its factorization.

105245214443244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9165351 (or 9165346 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 105245214443244 its reverse (442344412542501), we get a palindrome (547589626985745).

The spelling of 105245214443244 in words is "one hundred five trillion, two hundred forty-five billion, two hundred fourteen million, four hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 10301 20602 30903 41204 61806 92709 123612 185418 319331 370836 638662 957993 1277324 1915986 2873979 3831972 5747958 9155009 11495916 18310018 27465027 36620036 54930054 82395081 109860108 164790162 283805279 329580324 567610558 851415837 1135221116 1702831674 2554247511 3405663348 5108495022 10216990044 94305747709 188611495418 282917243127 377222990836 565834486254 848751729381 1131668972508 1697503458762 2923478178979 3395006917524 5846956357958 8770434536937 11693912715916 17540869073874 26311303610811 35081738147748 52622607221622 105245214443244