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10423203323120 = 245789241867773
BaseRepresentation
bin1001011110101101011101…
…0101001101110011110000
31100220110002221221120021222
42113223113111031303300
52331233210022314440
634100204205004212
72124023460262550
oct227532725156360
940813087846258
1010423203323120
1133595015a8515
121204105853668
135a7b99a04753
142806b2bc9160
151311e89102b5
hex97ad754dcf0

10423203323120 has 160 divisors (see below), whose sum is σ = 28123375167360. Its totient is φ = 3518850170880.

The previous prime is 10423203323119. The next prime is 10423203323147. The reversal of 10423203323120 is 2132330232401.

It is a happy number.

It is a super-2 number, since 2×104232033231202 (a number of 27 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 10423203323120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11577554 + ... + 12445326.

It is an arithmetic number, because the mean of its divisors is an integer number (175771094796).

Almost surely, 210423203323120 is an apocalyptic number.

10423203323120 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 10423203323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061687583680).

10423203323120 is an abundant number, since it is smaller than the sum of its proper divisors (17700171844240).

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

10423203323120 is a wasteful number, since it uses less digits than its factorization.

10423203323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868123 (or 868117 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 10423203323120 its reverse (2132330232401), we get a palindrome (12555533555521).

The spelling of 10423203323120 in words is "ten trillion, four hundred twenty-three billion, two hundred three million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 241 280 356 445 482 560 623 712 890 964 1205 1246 1424 1687 1780 1928 2410 2492 3115 3374 3560 3856 4820 4984 6230 6748 7120 8435 9640 9968 12460 13496 16870 19280 21449 24920 26992 33740 42898 49840 67480 85796 107245 134960 150143 171592 214490 300286 343184 428980 600572 750715 857960 867773 1201144 1501430 1715920 1735546 2402288 3002860 3471092 4338865 6005720 6074411 6942184 8677730 12011440 12148822 13884368 17355460 24297644 30372055 34710920 48595288 60744110 69421840 77231797 97190576 121488220 154463594 209133293 242976440 308927188 386158985 418266586 485952880 540622579 617854376 772317970 836533172 1045666465 1081245158 1235708752 1463933051 1544635940 1673066344 2091332930 2162490316 2703112895 2927866102 3089271880 3346132688 4182665860 4324980632 5406225790 5855732204 6178543760 7319665255 8365331720 8649961264 10812451580 11711464408 14639330510 16730663440 18612863077 21624903160 23422928816 29278661020 37225726154 43249806320 58557322040 74451452308 93064315385 117114644080 130290041539 148902904616 186128630770 260580083078 297805809232 372257261540 521160166156 651450207695 744514523080 1042320332312 1302900415390 1489029046160 2084640664624 2605800830780 5211601661560 10423203323120