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20122344114131 = 719216841697727
BaseRepresentation
bin1001001001101000110010…
…01011000100011111010011
32122020200021202111110020002
410210310121023010133103
510114141030043123011
6110444024405040215
74144535305600160
oct444643113043723
978220252443202
1020122344114131
116458924733866
12230ba183b606b
13b2c6b501a58c
144d7cd8a37067
1524d665a23c3b
hex124d192c47d3

20122344114131 has 16 divisors (see below), whose sum is σ = 24207477596160. Its totient is φ = 16339849830720.

The previous prime is 20122344114109. The next prime is 20122344114179. The reversal of 20122344114131 is 13141144322102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20122344114131 is a prime.

It is a super-2 number, since 2×201223441141312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20122344114094 and 20122344114103.

It is not an unprimeable number, because it can be changed into a prime (20122344114731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28490990 + ... + 29188716.

It is an arithmetic number, because the mean of its divisors is an integer number (1512967349760).

Almost surely, 220122344114131 is an apocalyptic number.

20122344114131 is a deficient number, since it is larger than the sum of its proper divisors (4085133482029).

20122344114131 is a wasteful number, since it uses less digits than its factorization.

20122344114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914594.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 20122344114131 its reverse (13141144322102), we get a palindrome (33263488436233).

The spelling of 20122344114131 in words is "twenty trillion, one hundred twenty-two billion, three hundred forty-four million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 19 133 216841 697727 1517887 4119979 4884089 13256813 28839853 92797691 151295820407 1059070742849 2874620587733 20122344114131