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212323343323212 = 2232112201124238057
BaseRepresentation
bin110000010001101101100001…
…011101001101000001001100
31000211202220122212012212121100
4300101231201131031001030
5210312201201342320322
62031323555233103100
762502566244250452
oct6021554135150114
91024686585185540
10212323343323212
116171a908058700
121b99182a0b7a90
13916200ba25644
143a6070ca829d2
15198303db98dac
hexc11b6174d04c

212323343323212 has 108 divisors (see below), whose sum is σ = 590226670539688. Its totient is φ = 64308410179200.

The previous prime is 212323343323199. The next prime is 212323343323271.

212323343323212 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 3 + 3 + 433 + 2 + 3 + 212 = 666.

212323343323212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3359113 + ... + 20878944.

Almost surely, 2212323343323212 is an apocalyptic number.

212323343323212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212323343323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295113335269844).

212323343323212 is an abundant number, since it is smaller than the sum of its proper divisors (377903327216476).

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

212323343323212 is a wasteful number, since it uses less digits than its factorization.

212323343323212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240100 (or 24240084 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 212323343323212 in words is "two hundred twelve trillion, three hundred twenty-three billion, three hundred forty-three million, three hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2011 2178 4022 4356 6033 8044 12066 18099 22121 24132 36198 44242 66363 72396 88484 132726 199089 243331 265452 398178 486662 729993 796356 973324 1459986 2189979 2919972 4379958 8759916 24238057 48476114 72714171 96952228 145428342 218142513 266618627 290856684 436285026 533237254 799855881 872570052 1066474508 1599711762 2399567643 2932804897 3199423524 4799135286 5865609794 8798414691 9598270572 11731219588 17596829382 26395244073 35193658764 48742732627 52790488146 97485465254 105580976292 146228197881 194970930508 292456395762 438684593643 536170058897 584912791524 877369187286 1072340117794 1608510176691 1754738374572 2144680235588 3217020353382 4825530530073 5897870647867 6434040706764 9651061060146 11795741295734 17693611943601 19302122120292 23591482591468 35387223887202 53080835830803 70774447774404 106161671661606 212323343323212