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13124121040 = 2451773163811
BaseRepresentation
bin11000011100100001…
…00011000111010000
31020212122100102112001
430032100203013100
5203334233333130
610010143243344
7643141121362
oct141620430720
936778312461
1013124121040
115625251428
1226632a9554
13131200c5c4
148c7038d32
1551c2bd6ca
hex30e4231d0

13124121040 has 160 divisors (see below), whose sum is σ = 32992638336. Its totient is φ = 4837294080.

The previous prime is 13124121037. The next prime is 13124121067. The reversal of 13124121040 is 4012142131.

It is a junction number, because it is equal to n+sod(n) for n = 13124120999 and 13124121017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16182235 + ... + 16183045.

Almost surely, 213124121040 is an apocalyptic number.

13124121040 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 13124121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496319168).

13124121040 is an abundant number, since it is smaller than the sum of its proper divisors (19868517296).

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

13124121040 is a wasteful number, since it uses less digits than its factorization.

13124121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13124121040 its reverse (4012142131), we get a palindrome (17136263171).

The spelling of 13124121040 in words is "thirteen billion, one hundred twenty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 136 146 163 170 272 292 326 340 365 584 652 680 730 811 815 1168 1241 1304 1360 1460 1622 1630 2482 2608 2771 2920 3244 3260 4055 4964 5542 5840 6205 6488 6520 8110 9928 11084 11899 12410 12976 13040 13787 13855 16220 19856 22168 23798 24820 27574 27710 32440 44336 47596 49640 55148 55420 59203 59495 64880 68935 95192 99280 110296 110840 118406 118990 132193 137870 190384 202283 220592 221680 236812 237980 264386 275740 296015 404566 473624 475960 528772 551480 592030 660965 809132 947248 951920 1006451 1011415 1057544 1102960 1184060 1321930 1618264 2012902 2022830 2115088 2247281 2368120 2643860 3236528 4025804 4045660 4494562 4736240 5032255 5287720 8051608 8091320 8989124 9650089 10064510 10575440 11236405 16103216 16182640 17978248 19300178 20129020 22472810 35956496 38600356 40258040 44945620 48250445 77200712 80516080 89891240 96500890 154401424 164051513 179782480 193001780 328103026 386003560 656206052 772007120 820257565 1312412104 1640515130 2624824208 3281030260 6562060520 13124121040