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105222050122 = 272191072112503
BaseRepresentation
bin110000111111110111…
…0010001000101001010
3101001121002211222022111
41201333232101011022
53210443321100442
6120201025412534
710413333445300
oct1417756210512
9331532758274
10105222050122
1140696116702
121848679a14a
139bcb675c27
145142804270
152b0c903b17
hex187fb9114a

105222050122 has 96 divisors (see below), whose sum is σ = 196074017280. Its totient is φ = 42105057120.

The previous prime is 105222050117. The next prime is 105222050149. The reversal of 105222050122 is 221050222501.

It is a super-2 number, since 2×1052220501222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105222050093 and 105222050102.

It is an unprimeable number.

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, 42037123 + ... + 42039625.

It is an arithmetic number, because the mean of its divisors is an integer number (2042437680).

Almost surely, 2105222050122 is an apocalyptic number.

105222050122 is a deficient number, since it is larger than the sum of its proper divisors (90851967158).

105222050122 is a wasteful number, since it uses less digits than its factorization.

105222050122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105222050122 its reverse (221050222501), we get a palindrome (326272272623).

The spelling of 105222050122 in words is "one hundred five billion, two hundred twenty-two million, fifty thousand, one hundred twenty-two".

Divisors: 1 2 7 14 19 38 49 98 107 133 211 214 266 422 749 931 1477 1498 1862 2033 2503 2954 4009 4066 5006 5243 8018 10339 10486 14231 17521 20678 22577 28063 28462 35042 45154 47557 56126 95114 99617 122647 158039 196441 199234 245294 267821 316078 332899 392882 428963 528133 535642 665798 857926 1056266 1106273 1874747 2212546 2330293 3002741 3696931 3749494 4660586 5088599 6005482 7393862 10034527 10177198 13123229 20069054 21019187 25878517 26246458 35620193 42038374 51757034 56510231 70241689 71240386 113020462 140483378 249341351 395571617 491691823 498682702 791143234 983383646 1073694389 2147388778 2769001319 5538002638 7515860723 15031721446 52611025061 105222050122