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114242110311 = 373373000607
BaseRepresentation
bin110101001100101011…
…1000100001101100111
3101220212201200111201210
41222121113010031213
53332431440012221
6124252044522503
711153011626000
oct1523127041547
9356781614653
10114242110311
11444a47693aa
121a183550433
13aa0832ab54
14575a75c1a7
152e89744276
hex1a995c4367

114242110311 has 32 divisors (see below), whose sum is σ = 182436966400. Its totient is φ = 63516827808.

The previous prime is 114242110289. The next prime is 114242110327. The reversal of 114242110311 is 113011242411.

It is not a de Polignac number, because 114242110311 - 27 = 114242110183 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114242110361) 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 31 ways as a sum of consecutive naturals, for example, 1462231 + ... + 1538376.

It is an arithmetic number, because the mean of its divisors is an integer number (5701155200).

Almost surely, 2114242110311 is an apocalyptic number.

114242110311 is a deficient number, since it is larger than the sum of its proper divisors (68194856089).

114242110311 is an equidigital number, since it uses as much as digits as its factorization.

114242110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000668 (or 3000654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 114242110311 its reverse (113011242411), we get a palindrome (227253352722).

The spelling of 114242110311 in words is "one hundred fourteen billion, two hundred forty-two million, one hundred ten thousand, three hundred eleven".

Divisors: 1 3 7 21 37 49 111 147 259 343 777 1029 1813 5439 12691 38073 3000607 9001821 21004249 63012747 111022459 147029743 333067377 441089229 777157213 1029208201 2331471639 3087624603 5440100491 16320301473 38080703437 114242110311