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10103003130 = 23511107359797
BaseRepresentation
bin10010110100010111…
…11001011111111010
3222002002120201212010
421122023321133322
5131142332100010
64350302230350
7505235052423
oct113213713772
928062521763
1010103003130
114314977870
121b5b5853b6
13c50142b7c
146bbad664a
153e1e57620
hex25a2f97fa

10103003130 has 128 divisors (see below), whose sum is σ = 26806671360. Its totient is φ = 2416528640.

The previous prime is 10103003129. The next prime is 10103003147. The reversal of 10103003130 is 3130030101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12675892 + ... + 12676688.

It is an arithmetic number, because the mean of its divisors is an integer number (209427120).

Almost surely, 210103003130 is an apocalyptic number.

10103003130 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 10103003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403335680).

10103003130 is an abundant number, since it is smaller than the sum of its proper divisors (16703668230).

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

10103003130 is a wasteful number, since it uses less digits than its factorization.

10103003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10103003130 its reverse (3130030101), we get a palindrome (13233033231).

The spelling of 10103003130 in words is "ten billion, one hundred three million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 359 535 642 718 797 1070 1077 1177 1594 1605 1795 2154 2354 2391 3210 3531 3590 3949 3985 4782 5385 5885 7062 7898 7970 8767 10770 11770 11847 11955 17534 17655 19745 23694 23910 26301 35310 38413 39490 43835 52602 59235 76826 85279 87670 115239 118470 131505 170558 192065 230478 255837 263010 286123 384130 422543 426395 511674 572246 576195 845086 852790 858369 938069 1152390 1267629 1279185 1430615 1716738 1876138 2112715 2535258 2558370 2814207 2861230 3147353 4225430 4291845 4690345 5628414 6294706 6338145 8583690 9380690 9442059 12676290 14071035 15736765 18884118 28142070 30615161 31473530 47210295 61230322 91845483 94420590 153075805 183690966 306151610 336766771 459227415 673533542 918454830 1010300313 1683833855 2020600626 3367667710 5051501565 10103003130