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103043432640 = 2635195649311
BaseRepresentation
bin101111111110111011…
…1100000000011000000
3100211222021101201222010
41133331313200003000
53142013104321030
6115200522212520
710305340503651
oct1377567400300
9324867351863
10103043432640
113a778371095
1217b79054140
1399421c0065
144db7331528
152a3150c6b0
hex17fdde00c0

103043432640 has 112 divisors (see below), whose sum is σ = 344382059520. Its totient is φ = 26032020480.

The previous prime is 103043432629. The next prime is 103043432677. The reversal of 103043432640 is 46234340301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103043432598 and 103043432607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2806416 + ... + 2842895.

Almost surely, 2103043432640 is an apocalyptic number.

103043432640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103043432640 is an abundant number, since it is smaller than the sum of its proper divisors (241338626880).

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

103043432640 is a wasteful number, since it uses less digits than its factorization.

103043432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649350 (or 5649340 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 103043432640 its reverse (46234340301), we get a palindrome (149277772941).

The spelling of 103043432640 in words is "one hundred three billion, forty-three million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 5649311 11298622 16947933 22597244 28246555 33895866 45194488 56493110 67791732 84739665 90388976 107336909 112986220 135583464 169479330 180777952 214673818 225972440 271166928 322010727 338958660 361555904 429347636 451944880 536684545 542333856 644021454 677917320 858695272 903889760 1073369090 1084667712 1288042908 1355834640 1610053635 1717390544 1807779520 2146738180 2576085816 2711669280 3220107270 3434781088 4293476360 5152171632 5423338560 6440214540 6869562176 8586952720 10304343264 12880429080 17173905440 20608686528 25760858160 34347810880 51521716320 103043432640