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114102320241 = 37133711296141
BaseRepresentation
bin110101001000100000…
…1110011110001110001
3101220111222122102210210
41222101001303301301
53332140143221431
6124230132414333
711146363501530
oct1522101636161
9356458572723
10114102320241
1144432870018
121a1447773a9
13a9b5395230
145745d70317
152e7c32ed46
hex1a91073c71

114102320241 has 32 divisors (see below), whose sum is σ = 192305521408. Its totient is φ = 58559189760.

The previous prime is 114102320219. The next prime is 114102320273. The reversal of 114102320241 is 142023201411.

It is not a de Polignac number, because 114102320241 - 25 = 114102320209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (114102320201) 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, 5637970 + ... + 5658171.

It is an arithmetic number, because the mean of its divisors is an integer number (6009547544).

Almost surely, 2114102320241 is an apocalyptic number.

It is an amenable number.

114102320241 is a deficient number, since it is larger than the sum of its proper divisors (78203201167).

114102320241 is a wasteful number, since it uses less digits than its factorization.

114102320241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296201.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114102320241 its reverse (142023201411), we get a palindrome (256125521652).

The spelling of 114102320241 in words is "one hundred fourteen billion, one hundred two million, three hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 11296141 33888423 79072987 146849833 237218961 417957217 440549499 1027948831 1253871651 2925700519 3083846493 5433443821 8777101557 16300331463 38034106747 114102320241