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122212110213 = 321929153116097
BaseRepresentation
bin111000111010001101…
…0001100111110000101
3102200110011122110020100
41301310122030332011
54000242300011323
6132050553354313
711554346540214
oct1616432147605
9380404573210
10122212110213
1147914606286
121b828708999
13b6a8598c1b
145cb505707b
1532a42b5943
hex1c7468cf85

122212110213 has 48 divisors (see below), whose sum is σ = 192364660800. Its totient is φ = 74471685120.

The previous prime is 122212110211. The next prime is 122212110227. The reversal of 122212110213 is 312011212221.

It is not a de Polignac number, because 122212110213 - 21 = 122212110211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212110211) 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 47 ways as a sum of consecutive naturals, for example, 7584181 + ... + 7600277.

It is an arithmetic number, because the mean of its divisors is an integer number (4007597100).

Almost surely, 2122212110213 is an apocalyptic number.

It is an amenable number.

122212110213 is a deficient number, since it is larger than the sum of its proper divisors (70152550587).

122212110213 is a wasteful number, since it uses less digits than its factorization.

122212110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17682 (or 17679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122212110213 its reverse (312011212221), we get a palindrome (434223322434).

The spelling of 122212110213 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 19 29 57 87 171 261 551 1531 1653 4593 4959 13779 16097 29089 44399 48291 87267 133197 144873 261801 305843 399591 466813 843581 917529 1400439 2530743 2752587 4201317 7592229 8869447 24644507 26608341 73933521 79825023 221800563 468245633 714690703 1404736899 2144072109 4214210697 6432216327 13579123357 40737370071 122212110213