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10423304312100 = 223521272707101063
BaseRepresentation
bin1001011110101101110101…
…0110011101010100100100
31100220110100222222100010120
42113223131112131110210
52331233411400441400
634100222213321540
72124026124544221
oct227533526352444
940813328870116
1010423304312100
113359553604a89
1212041336362b0
135a7bb4903444
142806c2396948
1513120270cca0
hex97add59d524

10423304312100 has 144 divisors (see below), whose sum is σ = 30407088488448. Its totient is φ = 2756615621760.

The previous prime is 10423304312051. The next prime is 10423304312111. The reversal of 10423304312100 is 121340332401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103086169 + ... + 103187231.

Almost surely, 210423304312100 is an apocalyptic number.

10423304312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10423304312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203544244224).

10423304312100 is an abundant number, since it is smaller than the sum of its proper divisors (19983784176348).

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

10423304312100 is a wasteful number, since it uses less digits than its factorization.

10423304312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103914 (or 103907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10423304312100 its reverse (121340332401), we get a palindrome (10544644644501).

The spelling of 10423304312100 in words is "ten trillion, four hundred twenty-three billion, three hundred four million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 2707 3175 3810 5414 6350 7620 8121 9525 10828 12700 13535 16242 19050 27070 32484 38100 40605 54140 67675 81210 101063 135350 162420 202126 203025 270700 303189 343789 404252 406050 505315 606378 687578 812100 1010630 1031367 1212756 1375156 1515945 1718945 2021260 2062734 2526575 3031890 3437890 4125468 5053150 5156835 6063780 6875780 7579725 8594725 10106300 10313670 12835001 15159450 17189450 20627340 25670002 25784175 30318900 34378900 38505003 51340004 51568350 64175005 77010006 103136700 128350010 154020012 192525015 256700020 273577541 320875025 385050030 547155082 641750050 770100060 820732623 962625075 1094310164 1283500100 1367887705 1641465246 1925250150 2735775410 3282930492 3850500300 4103663115 5471550820 6839438525 8207326230 13678877050 16414652460 20518315575 27357754100 34744347707 41036631150 69488695414 82073262300 104233043121 138977390828 173721738535 208466086242 347443477070 416932172484 521165215605 694886954140 868608692675 1042330431210 1737217385350 2084660862420 2605826078025 3474434770700 5211652156050 10423304312100