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12288145100 = 22527111595863
BaseRepresentation
bin10110111000110111…
…00011011011001100
31011201101022110010012
423130123203123030
5200131231120400
65351201332352
7613340336630
oct133433433314
934641273105
1012288145100
115236379320
12246b3370b8
13120aa7169a
14847dc6dc0
154bdbdbd35
hex2dc6e36cc

12288145100 has 72 divisors (see below), whose sum is σ = 33245038848. Its totient is φ = 3830068800.

The previous prime is 12288145099. The next prime is 12288145109. The reversal of 12288145100 is 154188221.

It is not an unprimeable number, because it can be changed into a prime (12288145109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790232 + ... + 805631.

Almost surely, 212288145100 is an apocalyptic number.

12288145100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12288145100 is an abundant number, since it is smaller than the sum of its proper divisors (20956893748).

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

12288145100 is a wasteful number, since it uses less digits than its factorization.

12288145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595895 (or 1595888 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The spelling of 12288145100 in words is "twelve billion, two hundred eighty-eight million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1595863 3191726 6383452 7979315 11171041 15958630 17554493 22342082 31917260 35108986 39896575 44684164 55855205 70217972 79793150 87772465 111710410 122881451 159586300 175544930 223420820 245762902 279276025 351089860 438862325 491525804 558552050 614407255 877724650 1117104100 1228814510 1755449300 2457629020 3072036275 6144072550 12288145100