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22125122122103 = 7112132837100231
BaseRepresentation
bin1010000011111011010000…
…00010110111000101110111
32220100010210210122201201022
411001331220002313011313
510344444222230401403
6115020050224251355
74442326103016650
oct501755002670567
986303723581638
1022125122122103
117060236701100
122593bb6770b5b
13c4650bc7bb40
14566c0c424527
152857d2844d38
hex141f680b7177

22125122122103 has 48 divisors (see below), whose sum is σ = 30037275867648. Its totient is φ = 15857937691200.

The previous prime is 22125122122099. The next prime is 22125122122109. The reversal of 22125122122103 is 30122122152122.

It is not a de Polignac number, because 22125122122103 - 22 = 22125122122099 is a prime.

It is a super-2 number, since 2×221251221221032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22125122122109) 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 47 ways as a sum of consecutive naturals, for example, 434003 + ... + 6666228.

It is an arithmetic number, because the mean of its divisors is an integer number (625776580576).

Almost surely, 222125122122103 is an apocalyptic number.

22125122122103 is a deficient number, since it is larger than the sum of its proper divisors (7912153745545).

22125122122103 is a wasteful number, since it uses less digits than its factorization.

22125122122103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100556 (or 7100545 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 22125122122103 its reverse (30122122152122), we get a palindrome (52247244274225).

The spelling of 22125122122103 in words is "twenty-two trillion, one hundred twenty-five billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred three".

Divisors: 1 7 11 13 77 91 121 143 283 847 1001 1573 1981 3113 3679 11011 21791 25753 34243 40469 239701 283283 445159 3116113 7100231 49701617 78102541 92303003 546717787 646121021 859127951 1015333033 2009365373 6013895657 7107331231 11168663363 14065557611 22103019103 26121749849 78180643541 154721133721 182852248943 243133210133 287339248339 1701932470931 2011374738373 3160731731729 22125122122103