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212201112210102 = 2334787419565219
BaseRepresentation
bin110000001111111011101011…
…111010100000101010110110
31000211100020011100210222022000
4300033323223322200222312
5210303200334211210402
62031151502320120130
762461011244033221
oct6017735372405266
91024306140728260
10212201112210102
1161682a93853254
121b971bb7166046
13915362c535102
143a588352c05b8
15197ec87dccc1c
hexc0feebea0ab6

212201112210102 has 64 divisors (see below), whose sum is σ = 481646322662400. Its totient is φ = 69220804404960.

The previous prime is 212201112210089. The next prime is 212201112210103. The reversal of 212201112210102 is 201012211102212.

212201112210102 is a `hidden beast` number, since 21 + 220 + 1 + 112 + 210 + 102 = 666.

It is a super-2 number, since 2×2122011122101022 (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 (212201112210103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17402049 + ... + 26967267.

It is an arithmetic number, because the mean of its divisors is an integer number (7525723791600).

Almost surely, 2212201112210102 is an apocalyptic number.

212201112210102 is an abundant number, since it is smaller than the sum of its proper divisors (269445210452298).

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

212201112210102 is a wasteful number, since it uses less digits than its factorization.

212201112210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574018 (or 9574012 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212201112210102 its reverse (201012211102212), we get a palindrome (413213323312314).

The spelling of 212201112210102 in words is "two hundred twelve trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 8741 17482 26223 52446 78669 157338 236007 410827 472014 821654 1232481 2464962 3697443 7394886 9565219 11092329 19130438 22184658 28695657 57391314 86086971 172173942 258260913 449565293 516521826 899130586 1348695879 2697391758 4046087637 8092175274 12138262911 24276525822 83609579279 167219158558 250828737837 501657475674 752486213511 1504972427022 2257458640533 3929650226113 4514917281066 7859300452226 11788950678339 23577901356678 35366852035017 70733704070034 106100556105051 212201112210102