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10200000132300 = 22352115214759273
BaseRepresentation
bin1001010001101101111101…
…1000100111010011001100
31100010002222112202122210210
42110123133120213103030
52314104100013213200
633405452042002420
72101632340412106
oct224333730472314
940102875678723
1010200000132300
113282883185660
1211889b34a6410
1358cb184c2984
1427397b246576
1512a4d33e1650
hex946df6274cc

10200000132300 has 144 divisors (see below), whose sum is σ = 32196070069632. Its totient is φ = 2472638169600.

The previous prime is 10200000132299. The next prime is 10200000132319. The reversal of 10200000132300 is 323100000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172055464 + ... + 172114736.

It is an arithmetic number, because the mean of its divisors is an integer number (223583819928).

Almost surely, 210200000132300 is an apocalyptic number.

10200000132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200000132300 is an abundant number, since it is smaller than the sum of its proper divisors (21996069937332).

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

10200000132300 is a wasteful number, since it uses less digits than its factorization.

10200000132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111448 (or 111441 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10200000132300 its reverse (323100000201), we get a palindrome (10523100132501).

The spelling of 10200000132300 in words is "ten trillion, two hundred billion, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 52147 59273 104294 118546 156441 177819 208588 237092 260735 296365 312882 355638 521470 573617 592730 625764 652003 711276 782205 889095 1042940 1147234 1185460 1303675 1304006 1481825 1564410 1720851 1778190 1956009 2294468 2607350 2608012 2868085 2963650 3128820 3260015 3441702 3556380 3911025 3912018 4445475 5214700 5736170 5927300 6520030 6883404 7822050 7824036 8604255 8890950 9780045 11472340 13040060 14340425 15644100 16300075 17208510 17781900 19560090 28680850 32600150 34417020 39120180 43021275 48900225 57361700 65200300 86042550 97800450 172085100 195600900 3090909131 6181818262 9272727393 12363636524 15454545655 18545454786 30909091310 34000000441 37090909572 46363636965 61818182620 68000000882 77272728275 92727273930 102000001323 136000001764 154545456550 170000002205 185454547860 204000002646 231818184825 309090913100 340000004410 408000005292 463636369650 510000006615 680000008820 850000011025 927272739300 1020000013230 1700000022050 2040000026460 2550000033075 3400000044100 5100000066150 10200000132300