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122210221231 = 7173147704857
BaseRepresentation
bin111000111010001001…
…0111111110010101111
3102200110001002111001001
41301310102333302233
54000241304034411
6132050445101131
711554324512040
oct1616422776257
9380401074031
10122210221231
114791353603a
121b827b577a7
13b6a8087197
145cb4ac48c7
1532a4040dc1
hex1c744bfcaf

122210221231 has 32 divisors (see below), whose sum is σ = 155903311872. Its totient is φ = 93379322880.

The previous prime is 122210221193. The next prime is 122210221249. The reversal of 122210221231 is 132122012221.

It is a cyclic number.

It is not a de Polignac number, because 122210221231 - 217 = 122210090159 is a prime.

It is a super-2 number, since 2×1222102212312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122210221199 and 122210221208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210221531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179046 + ... + 525811.

It is an arithmetic number, because the mean of its divisors is an integer number (4871978496).

Almost surely, 2122210221231 is an apocalyptic number.

122210221231 is a deficient number, since it is larger than the sum of its proper divisors (33693090641).

122210221231 is a wasteful number, since it uses less digits than its factorization.

122210221231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704959.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122210221231 its reverse (132122012221), we get a palindrome (254332233452).

The spelling of 122210221231 in words is "one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 7 17 31 47 119 217 329 527 799 1457 3689 5593 10199 24769 173383 704857 4933999 11982569 21850567 33128279 83877983 152953969 231897953 371459639 563180743 1026976649 2600217473 3942265201 7188836543 17458603033 122210221231