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212213242312212 = 2231011630611073791
BaseRepresentation
bin110000010000000110111110…
…111011001011011000010100
31000211101101110201202000012010
4300100012332323023120110
5210303400210012442322
62031201230114224220
762461620655144341
oct6020067673133024
91024341421660163
10212213242312212
1161688148996529
121b974421585070
13915481361ca1b
143a592662c77c8
151980247c9c20c
hexc101beecb614

212213242312212 has 48 divisors (see below), whose sum is σ = 500070380673024. Its totient is φ = 70036878960000.

The previous prime is 212213242312157. The next prime is 212213242312217.

It is a happy number.

212213242312212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212213242312212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212213242312217) 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, 197093037 + ... + 198166827.

It is an arithmetic number, because the mean of its divisors is an integer number (10418132930688).

Almost surely, 2212213242312212 is an apocalyptic number.

It is an amenable number.

212213242312212 is an abundant number, since it is smaller than the sum of its proper divisors (287857138360812).

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

212213242312212 is a wasteful number, since it uses less digits than its factorization.

212213242312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236960 (or 1236958 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 212213242312212 in words is "two hundred twelve trillion, two hundred thirteen billion, two hundred forty-two million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 163061 326122 489183 652244 978366 1073791 1956732 2147582 3221373 4295164 6442746 12885492 16469161 32938322 49407483 65876644 98814966 108452891 197629932 216905782 325358673 433811564 650717346 1301434692 175093434251 350186868502 525280302753 700373737004 1050560605506 2101121211012 17684436859351 35368873718702 53053310578053 70737747437404 106106621156106 212213242312212