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212111001203310 = 2335117310356916693
BaseRepresentation
bin110000001110100111110000…
…111000010011001001101110
31000211000121120101001112111000
4300032213300320103021232
5210300211312302001220
62031042240532341130
762451341226102546
oct6016476070231156
91024017511045430
10212111001203310
1161648852503110
121b9586491747a6
139147c9b717451
143a54327768326
15197c761e25390
hexc0e9f0e1326e

212111001203310 has 512 divisors, whose sum is σ = 632723647795200. Its totient is φ = 50132790190080.

The previous prime is 212111001203293. The next prime is 212111001203317. The reversal of 212111001203310 is 13302100111212.

212111001203310 is a `hidden beast` number, since 2 + 1 + 211 + 1 + 0 + 0 + 120 + 331 + 0 = 666.

It is a super-2 number, since 2×2121110012033102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111001203317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12706575324 + ... + 12706592016.

It is an arithmetic number, because the mean of its divisors is an integer number (1235788374600).

Almost surely, 2212111001203310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111001203310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316361823897600).

212111001203310 is an abundant number, since it is smaller than the sum of its proper divisors (420612646591890).

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

212111001203310 is a wasteful number, since it uses less digits than its factorization.

212111001203310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17465 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212111001203310 its reverse (13302100111212), we get a palindrome (225413101314522).

The spelling of 212111001203310 in words is "two hundred twelve trillion, one hundred eleven billion, one million, two hundred three thousand, three hundred ten".