Search a number
-
+
122210002101 = 31117619735153
BaseRepresentation
bin111000111010001001…
…0001010010010110101
3102200110000200100110010
41301310102022102311
54000241230031401
6132050440250433
711554322610135
oct1616422122265
9380400610403
10122210002101
11479133a6440
121b827a70a19
13b6a800b515
145cb4a68ac5
1532a3eeaed6
hex1c7448a4b5

122210002101 has 32 divisors (see below), whose sum is σ = 188252201088. Its totient is φ = 69696573440.

The previous prime is 122210002091. The next prime is 122210002129. The reversal of 122210002101 is 101200012221.

It is a cyclic number.

It is not a de Polignac number, because 122210002101 - 25 = 122210002069 is a prime.

It is a super-2 number, since 2×1222100021012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3458941 + ... + 3494093.

It is an arithmetic number, because the mean of its divisors is an integer number (5882881284).

Almost surely, 2122210002101 is an apocalyptic number.

122210002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122210002101 is a deficient number, since it is larger than the sum of its proper divisors (66042198987).

122210002101 is a wasteful number, since it uses less digits than its factorization.

122210002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41381.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122210002101 its reverse (101200012221), we get a palindrome (223410014322).

The spelling of 122210002101 in words is "one hundred twenty-two billion, two hundred ten million, two thousand, one hundred one".

Divisors: 1 3 11 17 33 51 187 561 6197 18591 35153 68167 105349 105459 204501 316047 386683 597601 1158839 1160049 1792803 3476517 6573611 19720833 217843141 653529423 2396274551 3703333397 7188823653 11110000191 40736667367 122210002101