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10013303040 = 283513200587
BaseRepresentation
bin10010101001101011…
…01110000100000000
3221211211210111110120
421110311232010000
5131001401144130
64333335500240
7503065446216
oct112465560400
927754714416
1010013303040
114279280864
121b35527680
13c376975b0
146adc26cb6
153d9139910
hex254d6e100

10013303040 has 144 divisors (see below), whose sum is σ = 34440157248. Its totient is φ = 2464800768.

The previous prime is 10013303039. The next prime is 10013303057. The reversal of 10013303040 is 4030331001.

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

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 15 ways as a sum of consecutive naturals, for example, 50374 + ... + 150213.

Almost surely, 210013303040 is an apocalyptic number.

10013303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013303040 is an abundant number, since it is smaller than the sum of its proper divisors (24426854208).

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

10013303040 is a wasteful number, since it uses less digits than its factorization.

10013303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200624 (or 200610 counting only the distinct ones).

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

Adding to 10013303040 its reverse (4030331001), we get a palindrome (14043634041).

The spelling of 10013303040 in words is "ten billion, thirteen million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 200587 401174 601761 802348 1002935 1203522 1604696 2005870 2407044 2607631 3008805 3209392 4011740 4814088 5215262 6017610 6418784 7822893 8023480 9628176 10430524 12035220 12837568 13038155 15645786 16046960 19256352 20861048 24070440 25675136 26076310 31291572 32093920 38512704 39114465 41722096 48140880 51350272 52152620 62583144 64187840 77025408 78228930 83444192 96281760 104305240 125166288 128375680 154050816 156457860 166888384 192563520 208610480 250332576 256751360 312915720 333776768 385127040 417220960 500665152 625831440 667553536 770254080 834441920 1001330304 1251662880 1668883840 2002660608 2503325760 3337767680 5006651520 10013303040