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10130120310 = 23517971931061
BaseRepresentation
bin10010110111100110…
…10101111001110110
3222010222121102122010
421123303111321312
5131221302322220
64353111345050
7506014413312
oct113363257166
928128542563
1010130120310
114329209362
121b68682186
13c5594893b
146c1554b42
153e45121e0
hex25bcd5e76

10130120310 has 128 divisors (see below), whose sum is σ = 26167204224. Its totient is φ = 2500853760.

The previous prime is 10130120281. The next prime is 10130120317. The reversal of 10130120310 is 1302103101.

It is a super-2 number, since 2×101301203102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130120317) 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, 9547180 + ... + 9548240.

It is an arithmetic number, because the mean of its divisors is an integer number (204431283).

Almost surely, 210130120310 is an apocalyptic number.

10130120310 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 10130120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083602112).

10130120310 is an abundant number, since it is smaller than the sum of its proper divisors (16037083914).

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

10130120310 is a wasteful number, since it uses less digits than its factorization.

10130120310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10130120310 its reverse (1302103101), we get a palindrome (11432223411).

The spelling of 10130120310 in words is "ten billion, one hundred thirty million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 102 170 193 194 255 291 386 485 510 579 582 965 970 1061 1158 1455 1649 1930 2122 2895 2910 3183 3281 3298 4947 5305 5790 6366 6562 8245 9843 9894 10610 15915 16405 16490 18037 18721 19686 24735 31830 32810 36074 37442 49215 49470 54111 56163 90185 93605 98430 102917 108222 112326 180370 187210 204773 205834 270555 280815 308751 318257 409546 514585 541110 561630 614319 617502 636514 954771 1023865 1029170 1228638 1543755 1591285 1749589 1909542 2047730 3071595 3087510 3182570 3481141 3499178 4773855 5248767 6143190 6962282 8747945 9547710 10443423 10497534 17405705 17495890 19862981 20886846 26243835 34811410 39725962 52217115 52487670 59588943 99314905 104434230 119177886 198629810 297944715 337670677 595889430 675341354 1013012031 1688353385 2026024062 3376706770 5065060155 10130120310