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105243548280 = 233513193550727
BaseRepresentation
bin110001000000100000…
…0010001101001111000
3101001122121022012020120
41202001000101221320
53211014322021110
6120203114253240
710414014254163
oct1420100215170
9331577265216
10105243548280
11406a726a582
1218491a27220
139c02c62230
1451455dcada
152b0e74d870
hex1881011a78

105243548280 has 128 divisors (see below), whose sum is σ = 357913382400. Its totient is φ = 24542618112.

The previous prime is 105243548243. The next prime is 105243548341. The reversal of 105243548280 is 82845342501.

105243548280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052435482802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745724 + ... + 1805003.

It is an arithmetic number, because the mean of its divisors is an integer number (2796198300).

Almost surely, 2105243548280 is an apocalyptic number.

105243548280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105243548280 is an abundant number, since it is smaller than the sum of its proper divisors (252669834120).

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

105243548280 is a wasteful number, since it uses less digits than its factorization.

105243548280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550773 (or 3550769 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 105243548280 in words is "one hundred five billion, two hundred forty-three million, five hundred forty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 3550727 7101454 10652181 14202908 17753635 21304362 28405816 35507270 42608724 46159451 53260905 67463813 71014540 85217448 92318902 106521810 134927626 138478353 142029080 184637804 202391439 213043620 230797255 269855252 276956706 337319065 369275608 404782878 426087240 461594510 539710504 553913412 674638130 692391765 809565756 877029569 923189020 1011957195 1107826824 1349276260 1384783530 1619131512 1754059138 1846378040 2023914390 2631088707 2698552520 2769567060 3508118276 4047828780 4385147845 5262177414 5539134120 7016236552 8095657560 8770295690 10524354828 13155443535 17540591380 21048709656 26310887070 35081182760 52621774140 105243548280