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114021131141 = 375370982009
BaseRepresentation
bin110101000110000110…
…0000110001110000101
3101220022022212121022002
41222030030012032011
53332003402144031
6124214112315045
711144356423601
oct1521414061605
9356268777262
10114021131141
11443a0a57495
121a121542a85
13a9a1609848
145739278501
152e75143ccb
hex1a8c306385

114021131141 has 16 divisors (see below), whose sum is σ = 119482009200. Its totient is φ = 108691435008.

The previous prime is 114021131123. The next prime is 114021131153. The reversal of 114021131141 is 141131120411.

It can be written as a sum of positive squares in 8 ways, for example, as 19901027041 + 94120104100 = 141071^2 + 306790^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114021131141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114021131641) 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, 1349345 + ... + 1431353.

It is an arithmetic number, because the mean of its divisors is an integer number (7467625575).

Almost surely, 2114021131141 is an apocalyptic number.

It is an amenable number.

114021131141 is a deficient number, since it is larger than the sum of its proper divisors (5460878059).

114021131141 is an equidigital number, since it uses as much as digits as its factorization.

114021131141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82808.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 114021131141 its reverse (141131120411), we get a palindrome (255152251552).

The spelling of 114021131141 in words is "one hundred fourteen billion, twenty-one million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 37 53 709 1961 26233 37577 82009 1390349 3034333 4346477 58144381 160819649 2151342097 3081652193 114021131141