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112220413141 = 1762771051649
BaseRepresentation
bin110100010000011011…
…0111001110011010101
3101201122211111122120211
41220200312321303111
53314311411210031
6123315304525421
711051632526104
oct1504066716325
9351584448524
10112220413141
11436575523a1
12198ba480871
13a775527a35
14560805603b
152dbbee7bb1
hex1a20db9cd5

112220413141 has 8 divisors (see below), whose sum is σ = 118840656600. Its totient is φ = 105602285568.

The previous prime is 112220413121. The next prime is 112220413153. The reversal of 112220413141 is 141314022211.

It can be written as a sum of positive squares in 4 ways, for example, as 98881318116 + 13339095025 = 314454^2 + 115495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112220413141 is a prime.

It is a super-2 number, since 2×1122204131412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220413121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 419116 + ... + 632533.

It is an arithmetic number, because the mean of its divisors is an integer number (14855082075).

Almost surely, 2112220413141 is an apocalyptic number.

It is an amenable number.

112220413141 is a deficient number, since it is larger than the sum of its proper divisors (6620243459).

112220413141 is a wasteful number, since it uses less digits than its factorization.

112220413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057943.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 112220413141 its reverse (141314022211), we get a palindrome (253534435352).

The spelling of 112220413141 in words is "one hundred twelve billion, two hundred twenty million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 17 6277 106709 1051649 17878033 6601200773 112220413141