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212101210111000 = 2353730300172873
BaseRepresentation
bin110000001110011110101001…
…010010001111110000011000
31000210222200022000101111211111
4300032132221102033300120
5210300031234242023000
62031033541211310104
762450543466145120
oct6016365122176030
91023880260344744
10212101210111000
1161644688705591
121b95677614b334
13914709b0b28c2
143a53a79265c80
15197c38c580cba
hexc0e7a948fc18

212101210111000 has 64 divisors (see below), whose sum is σ = 567219236201280. Its totient is φ = 72720414892800.

The previous prime is 212101210110901. The next prime is 212101210111001. The reversal of 212101210111000 is 111012101212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101210111001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15150079437 + ... + 15150093436.

It is an arithmetic number, because the mean of its divisors is an integer number (8862800565645).

Almost surely, 2212101210111000 is an apocalyptic number.

212101210111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101210111000 is an abundant number, since it is smaller than the sum of its proper divisors (355118026090280).

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

212101210111000 is a wasteful number, since it uses less digits than its factorization.

212101210111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30300172901 (or 30300172887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212101210111000 its reverse (111012101212), we get a palindrome (212212222212212).

The spelling of 212101210111000 in words is "two hundred twelve trillion, one hundred one billion, two hundred ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 30300172873 60600345746 121200691492 151500864365 212101210111 242401382984 303001728730 424202420222 606003457460 757504321825 848404840444 1060506050555 1212006914920 1515008643650 1696809680888 2121012101110 3030017287300 3787521609125 4242024202220 5302530252775 6060034574600 7575043218250 8484048404440 10605060505550 15150086436500 21210121011100 26512651263875 30300172873000 42420242022200 53025302527750 106050605055500 212101210111000