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15310105020 = 22325723528299
BaseRepresentation
bin11100100001000110…
…11010100110111100
31110111222122220210200
432100203122212330
5222323341330040
611011112403500
71051253513460
oct162043324674
943458586720
1015310105020
116547178561
122b733a6590
13159cb74452
14a534a84a0
155e916c630
hex3908da9bc

15310105020 has 144 divisors (see below), whose sum is σ = 55382745600. Its totient is φ = 3347296128.

The previous prime is 15310105009. The next prime is 15310105033. The reversal of 15310105020 is 2050101351.

15310105020 is a `hidden beast` number, since 153 + 1 + 0 + 10 + 502 + 0 = 666.

15310105020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 15310104984 and 15310105002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235170 + ... + 293129.

It is an arithmetic number, because the mean of its divisors is an integer number (384602400).

Almost surely, 215310105020 is an apocalyptic number.

15310105020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15310105020 is an abundant number, since it is smaller than the sum of its proper divisors (40072640580).

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

15310105020 is a wasteful number, since it uses less digits than its factorization.

15310105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528344 (or 528339 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 15310105020 its reverse (2050101351), we get a palindrome (17360206371).

The spelling of 15310105020 in words is "fifteen billion, three hundred ten million, one hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 528299 1056598 1584897 2113196 2641495 3169794 3698093 4754691 5282990 6339588 7396186 7924485 9509382 10565980 11094279 12150877 14792372 15848970 18490465 19018764 22188558 23773455 24301754 31697940 33282837 36452631 36980930 44377116 47546910 48603508 55471395 60754385 66565674 72905262 73961860 85056139 95093820 109357893 110942790 121508770 133131348 145810524 166414185 170112278 182263155 218715786 221885580 243017540 255168417 332828370 340224556 364526310 425280695 437431572 510336834 546789465 665656740 729052620 765505251 850561390 1020673668 1093578930 1275842085 1531010502 1701122780 2187157860 2551684170 3062021004 3827526255 5103368340 7655052510 15310105020