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212717720075 = 52723411289003
BaseRepresentation
bin1100011000011011110…
…1101101001000001011
3202100001122220210200212
43012012331231020023
511441121214020300
6241415434551335
721240225534050
oct3060675551013
9670048823625
10212717720075
1182238675563
123528689854b
13170a0088823
14a41d16b027
1557eec17935
hex3186f6d20b

212717720075 has 48 divisors (see below), whose sum is σ = 322230375936. Its totient is φ = 136118611200.

The previous prime is 212717719999. The next prime is 212717720087. The reversal of 212717720075 is 570027717212.

212717720075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212717720075 - 220 = 212716671499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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, 479477 + ... + 809526.

It is an arithmetic number, because the mean of its divisors is an integer number (6713132832).

Almost surely, 2212717720075 is an apocalyptic number.

212717720075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212717720075 is a deficient number, since it is larger than the sum of its proper divisors (109512655861).

212717720075 is a wasteful number, since it uses less digits than its factorization.

212717720075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289084 (or 1289079 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 41.

The spelling of 212717720075 in words is "two hundred twelve billion, seven hundred seventeen million, seven hundred twenty thousand, seventy-five".

Divisors: 1 5 7 23 25 35 41 115 161 175 205 287 575 805 943 1025 1435 4025 4715 6601 7175 23575 33005 165025 1289003 6445015 9023021 29647069 32225075 45115105 52849123 148235345 207529483 225575525 264245615 369943861 741176725 1037647415 1215529829 1321228075 1849719305 5188237075 6077649145 8508708803 9248596525 30388245725 42543544015 212717720075