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114131301141 = 311131637162517
BaseRepresentation
bin110101001001011000…
…0010111001100010101
3101220121000011211010110
41222102300113030111
53332220103114031
6124233045513233
711150165024124
oct1522260271425
9356530154113
10114131301141
1144448164880
121a152412819
13a9bb3a13b0
145749b55abb
152e7eb56c46
hex1a92c17315

114131301141 has 32 divisors (see below), whose sum is σ = 178889413248. Its totient is φ = 63810282240.

The previous prime is 114131301139. The next prime is 114131301143. The reversal of 114131301141 is 141103131411.

It is an interprime number because it is at equal distance from previous prime (114131301139) and next prime (114131301143).

It is not a de Polignac number, because 114131301141 - 21 = 114131301139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131301143) 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 31 ways as a sum of consecutive naturals, for example, 621015 + ... + 783531.

It is an arithmetic number, because the mean of its divisors is an integer number (5590294164).

Almost surely, 2114131301141 is an apocalyptic number.

114131301141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114131301141 is a deficient number, since it is larger than the sum of its proper divisors (64758112107).

114131301141 is a wasteful number, since it uses less digits than its factorization.

114131301141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164181.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 114131301141 its reverse (141103131411), we get a palindrome (255234432552).

The spelling of 114131301141 in words is "one hundred fourteen billion, one hundred thirty-one million, three hundred one thousand, one hundred forty-one".

Divisors: 1 3 11 13 33 39 143 429 1637 4911 18007 21281 54021 63843 162517 234091 487551 702273 1787687 2112721 5363061 6338163 23239931 69719793 266040329 798120987 2926443619 3458524277 8779330857 10375572831 38043767047 114131301141