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114024312331 = 2329733233221
BaseRepresentation
bin110101000110001100…
…0001110111000001011
3101220022112212020001221
41222030120032320023
53332010210443311
6124214304422511
711144425443316
oct1521430167013
9356275766057
10114024312331
11443a282a576
121a122617a37
13a9a21817c7
14573986597d
152e75571671
hex1a8c60ee0b

114024312331 has 16 divisors (see below), whose sum is σ = 123253162560. Its totient is φ = 105161696640.

The previous prime is 114024312329. The next prime is 114024312373. The reversal of 114024312331 is 133213420411.

It is not a de Polignac number, because 114024312331 - 21 = 114024312329 is a prime.

It is a super-2 number, since 2×1140243123312 (a number of 23 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 = 114024312296 and 114024312305.

It is not an unprimeable number, because it can be changed into a prime (114024312131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372301 + ... + 605521.

It is an arithmetic number, because the mean of its divisors is an integer number (7703322660).

Almost surely, 2114024312331 is an apocalyptic number.

114024312331 is a deficient number, since it is larger than the sum of its proper divisors (9228850229).

114024312331 is a wasteful number, since it uses less digits than its factorization.

114024312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234006.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 114024312331 its reverse (133213420411), we get a palindrome (247237732742).

The spelling of 114024312331 in words is "one hundred fourteen billion, twenty-four million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 23 29 667 733 16859 21257 233221 488911 5364083 6763409 155558407 170950993 3931872839 4957578797 114024312331