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212200220121 = 32331151656989
BaseRepresentation
bin1100010110100000011…
…1100110010111011001
3202021201121011002012220
43011220013212113121
511434041224020441
6241252231054253
721221343052611
oct3055007462731
9667647132186
10212200220121
1181aa254614a
1235161511389
1317019ab7236
14a3b053ba41
1557be594466
hex31681e65d9

212200220121 has 32 divisors (see below), whose sum is σ = 306777538560. Its totient is φ = 130083624000.

The previous prime is 212200220093. The next prime is 212200220129. The reversal of 212200220121 is 121022002212.

212200220121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212200220121 - 27 = 212200219993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212200220121.

It is not an unprimeable number, because it can be changed into a prime (212200220129) 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 31 ways as a sum of consecutive naturals, for example, 5506 + ... + 651483.

It is an arithmetic number, because the mean of its divisors is an integer number (9586798080).

Almost surely, 2212200220121 is an apocalyptic number.

It is an amenable number.

212200220121 is a deficient number, since it is larger than the sum of its proper divisors (94577318439).

212200220121 is a wasteful number, since it uses less digits than its factorization.

212200220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657197.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212200220121 its reverse (121022002212), we get a palindrome (333222222333).

The spelling of 212200220121 in words is "two hundred twelve billion, two hundred million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 23 31 69 93 151 453 713 2139 3473 4681 10419 14043 107663 322989 656989 1970967 15110747 20366659 45332241 61099977 99205339 297616017 468433157 1405299471 2281722797 3075365509 6845168391 9226096527 70733406707 212200220121