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12117063075 = 3521388714011
BaseRepresentation
bin10110100100011101…
…11011010110100011
31011021110101120200220
423102032323112203
5144303432004300
65322210414123
7606162223335
oct132216732643
934243346626
1012117063075
115158847917
122421b91343
1311b14a0a10
1482d3b1455
154adb95da0
hex2d23bb5a3

12117063075 has 48 divisors (see below), whose sum is σ = 21600450816. Its totient is φ = 5958172800.

The previous prime is 12117063073. The next prime is 12117063137. The reversal of 12117063075 is 57036071121.

It is not a de Polignac number, because 12117063075 - 21 = 12117063073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12117063073) 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 47 ways as a sum of consecutive naturals, for example, 857820 + ... + 871830.

It is an arithmetic number, because the mean of its divisors is an integer number (450009392).

Almost surely, 212117063075 is an apocalyptic number.

12117063075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12117063075 is a deficient number, since it is larger than the sum of its proper divisors (9483387741).

12117063075 is a wasteful number, since it uses less digits than its factorization.

12117063075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 14919 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 12117063075 in words is "twelve billion, one hundred seventeen million, sixty-three thousand, seventy-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 887 975 2661 4435 11531 13305 14011 22175 34593 42033 57655 66525 70055 172965 182143 210165 288275 350275 546429 864825 910715 1050825 2732145 4553575 12427757 13660725 37283271 62138785 161560841 186416355 310693925 484682523 807804205 932081775 2423412615 4039021025 12117063075