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102343310421040 = 245131942193122753
BaseRepresentation
bin10111010001010010101000…
…101010011010110000110000
3111102100220222021021202110001
4113101102220222122300300
5101403243044431433130
61001355511233315344
730362026432111033
oct2721225052326060
9442326867252401
10102343310421040
112a678610714657
12b58a99b705b54
134514c1837bb90
141b3b62a90101a
15bc72b73a36ca
hex5d14a8a9ac30

102343310421040 has 160 divisors (see below), whose sum is σ = 269747436934080. Its totient is φ = 35798301278208.

The previous prime is 102343310420941. The next prime is 102343310421083. The reversal of 102343310421040 is 40124013343201.

It is a happy number.

102343310421040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1023433104210403 (a number of 43 digits) contains 333 as substring.

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, 833672304 + ... + 833795056.

It is an arithmetic number, because the mean of its divisors is an integer number (1685921480838).

Almost surely, 2102343310421040 is an apocalyptic number.

102343310421040 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 102343310421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134873718467040).

102343310421040 is an abundant number, since it is smaller than the sum of its proper divisors (167404126513040).

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

102343310421040 is a wasteful number, since it uses less digits than its factorization.

102343310421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164991 (or 164985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 102343310421040 its reverse (40124013343201), we get a palindrome (142467323764241).

The spelling of 102343310421040 in words is "one hundred two trillion, three hundred forty-three billion, three hundred ten million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 42193 84386 122753 168772 210965 245506 337544 421930 491012 548509 613765 675088 801667 843860 982024 1097018 1227530 1595789 1603334 1687720 1964048 2194036 2332307 2455060 2742545 3191578 3206668 3375440 4008335 4388072 4664614 4910120 5485090 6383156 6413336 7978945 8016670 8776144 9329228 9820240 10421671 10970180 11661535 12766312 12826672 15957890 16033340 18658456 20843342 21940360 23323070 25532624 30319991 31915780 32066680 37316912 41686684 43880720 46646140 52108355 60639982 63831560 64133360 83373368 93292280 104216710 121279964 127663120 151599955 166746736 186584560 208433420 242559928 303199910 416866840 485119856 606399820 833733680 1212799640 2425599280 5179317329 10358634658 20717269316 25896586645 41434538632 51793173290 67331125277 82869077264 98407029251 103586346580 134662250554 196814058502 207172693160 269324501108 336655626385 393628117004 414345386320 492035146255 538649002216 673311252770 787256234008 984070292510 1077298004432 1279291380263 1346622505540 1574512468016 1968140585020 2558582760526 2693245011080 3936281170040 5117165521052 5386490022160 6396456901315 7872562340080 10234331042104 12792913802630 20468662084208 25585827605260 51171655210520 102343310421040