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10431320130 = 2345711167249
BaseRepresentation
bin10011011011100000…
…10101000001000010
3222220222100222010000
421231300111001002
5132330404221010
64443031220430
7516332521020
oct115560250102
928828328100
1010431320130
114473232230
122031517716
13ca317689a
1470d55b710
15410bab7c0
hex26dc15042

10431320130 has 160 divisors (see below), whose sum is σ = 34969968000. Its totient is φ = 2167534080.

The previous prime is 10431320129. The next prime is 10431320153. The reversal of 10431320130 is 3102313401.

10431320130 is a `hidden beast` number, since 1 + 0 + 431 + 3 + 201 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 21255 + ... + 145994.

It is an arithmetic number, because the mean of its divisors is an integer number (218562300).

Almost surely, 210431320130 is an apocalyptic number.

10431320130 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 10431320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484984000).

10431320130 is an abundant number, since it is smaller than the sum of its proper divisors (24538647870).

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

10431320130 is a wasteful number, since it uses less digits than its factorization.

10431320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167286 (or 167277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10431320130 its reverse (3102313401), we get a palindrome (13533633531).

The spelling of 10431320130 in words is "ten billion, four hundred thirty-one million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 2079 2310 2835 2970 3465 4158 4455 5670 6237 6930 8910 10395 12474 20790 31185 62370 167249 334498 501747 836245 1003494 1170743 1505241 1672490 1839739 2341486 2508735 3010482 3512229 3679478 4515723 5017470 5519217 5853715 7024458 7526205 9031446 9198695 10536687 11038434 11707430 12878173 13547169 15052410 16557651 17561145 18397390 21073374 22578615 25756346 27094338 27596085 31610061 33115302 35122290 38634519 45157230 49672953 52683435 55192170 63220122 64390865 67735845 77269038 82788255 94830183 99345906 105366870 115903557 128781730 135471690 149018859 158050305 165576510 189660366 193172595 231807114 248364765 298037718 316100610 347710671 386345190 474150915 496729530 579517785 695421342 745094295 948301830 1043132013 1159035570 1490188590 1738553355 2086264026 3477106710 5215660065 10431320130