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212210122202211 = 3779191811782507
BaseRepresentation
bin110000010000000100000100…
…111100111001110001100011
31000211101002102021200222220110
4300100010010330321301203
5210303322312240432321
62031155552335342403
762461450440511620
oct6020040474716143
91024332367628813
10212210122202211
1161686897749721
121b9738b0681a03
1391544370a34a3
143a5904bb77347
151980113dd0176
hexc10104f39c63

212210122202211 has 64 divisors (see below), whose sum is σ = 329220068474880. Its totient is φ = 119084988896640.

The previous prime is 212210122202201. The next prime is 212210122202213. The reversal of 212210122202211 is 112202221012212.

It is not a de Polignac number, because 212210122202211 - 29 = 212210122201699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212210122202213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2571984420 + ... + 2572066926.

It is an arithmetic number, because the mean of its divisors is an integer number (5144063569920).

Almost surely, 2212210122202211 is an apocalyptic number.

212210122202211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212210122202211 is a deficient number, since it is larger than the sum of its proper divisors (117009946272669).

212210122202211 is a wasteful number, since it uses less digits than its factorization.

212210122202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90904.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212210122202211 its reverse (112202221012212), we get a palindrome (324412343214423).

The spelling of 212210122202211 in words is "two hundred twelve trillion, two hundred ten billion, one hundred twenty-two million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 7 21 79 191 237 553 573 1337 1659 4011 8117 15089 24351 45267 56819 82507 105623 170457 247521 316869 577549 641243 1550347 1732647 1923729 4488701 4651041 6518053 10852429 13466103 15758837 19554159 32557287 45626371 47276511 110311859 122477413 136879113 330935577 367432239 669709319 857341891 1244948123 2009127957 2572025673 3734844369 4687965233 8714636861 14063895699 26143910583 52907036201 127914479929 158721108603 370349253407 383743439787 895401359503 1111047760221 2686204078509 10105243914391 30315731743173 70736707400737 212210122202211