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13002323010 = 23517197118899
BaseRepresentation
bin11000001101111111…
…11011010001000010
31020120011011110000220
430012333323101002
5203112043314020
65550112523510
7640131631155
oct140677732102
936504143026
1013002323010
1155725217a6
12262a550596
1312c2a06171
148b4bb1c9c
15511760240
hex306ffb442

13002323010 has 128 divisors (see below), whose sum is σ = 35271936000. Its totient is φ = 3047869440.

The previous prime is 13002322981. The next prime is 13002323011. The reversal of 13002323010 is 1032320031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13002323011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678541 + ... + 697439.

It is an arithmetic number, because the mean of its divisors is an integer number (275562000).

Almost surely, 213002323010 is an apocalyptic number.

13002323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635968000).

13002323010 is an abundant number, since it is smaller than the sum of its proper divisors (22269612990).

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

13002323010 is a wasteful number, since it uses less digits than its factorization.

13002323010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19016.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13002323010 its reverse (1032320031), we get a palindrome (14034643041).

The spelling of 13002323010 in words is "thirteen billion, two million, three hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 71 85 95 102 114 142 170 190 213 255 285 323 355 426 510 570 646 710 969 1065 1207 1349 1615 1938 2130 2414 2698 3230 3621 4047 4845 6035 6745 7242 8094 9690 12070 13490 18105 18899 20235 22933 36210 37798 40470 45866 56697 68799 94495 113394 114665 137598 188990 229330 283485 321283 343995 359081 566970 642566 687990 718162 963849 1077243 1341829 1606415 1795405 1927698 2154486 2683658 3212830 3590810 4025487 4819245 5386215 6104377 6709145 8050974 9638490 10772430 12208754 13418290 18313131 20127435 22811093 25494751 30521885 36626262 40254870 45622186 50989502 61043770 68433279 76484253 91565655 114055465 127473755 136866558 152968506 183131310 228110930 254947510 342166395 382421265 433410767 684332790 764842530 866821534 1300232301 2167053835 2600464602 4334107670 6501161505 13002323010