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13105513340 = 22519437310987
BaseRepresentation
bin11000011010010011…
…00100001101111100
31020211100100001112222
430031021210031330
5203320002411330
610004240344512
7642524011463
oct141511441574
936740301488
1013105513340
1156157a2167
122659015138
13130b1c5b2a
148c47939da
1551a8450e5
hex30d26437c

13105513340 has 96 divisors (see below), whose sum is σ = 30052619520. Its totient is φ = 4783919616.

The previous prime is 13105513339. The next prime is 13105513381. The reversal of 13105513340 is 4331550131.

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, 1187327 + ... + 1198313.

It is an arithmetic number, because the mean of its divisors is an integer number (313048120).

Almost surely, 213105513340 is an apocalyptic number.

13105513340 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 13105513340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026309760).

13105513340 is an abundant number, since it is smaller than the sum of its proper divisors (16947106180).

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

13105513340 is a wasteful number, since it uses less digits than its factorization.

13105513340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 13105513340 in words is "thirteen billion, one hundred five million, five hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 73 76 86 95 146 172 190 215 292 365 380 430 730 817 860 1387 1460 1634 2774 3139 3268 4085 5548 6278 6935 8170 10987 12556 13870 15695 16340 21974 27740 31390 43948 54935 59641 62780 109870 119282 208753 219740 238564 298205 417506 472441 596410 802051 835012 944882 1043765 1192820 1604102 1889764 2087530 2362205 3208204 4010255 4175060 4724410 8020510 8976379 9448820 15238969 16041020 17952758 30477938 34488193 35905516 44881895 60955876 68976386 76194845 89763790 137952772 152389690 172440965 179527580 304779380 344881930 655275667 689763860 1310551334 2621102668 3276378335 6552756670 13105513340