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114311331333 = 3247161269317
BaseRepresentation
bin110101001110101111…
…1000111111000000101
3101221001112221022010100
41222131133013320011
53333102200100313
6124303000314313
711154512166363
oct1523537077005
9357045838110
10114311331333
114452a848161
121a1a2772999
13aa19785c34
145765a1a633
152e90869173
hex1a9d7c7e05

114311331333 has 12 divisors (see below), whose sum is σ = 165120481708. Its totient is φ = 76205655360.

The previous prime is 114311331313. The next prime is 114311331383. The reversal of 114311331333 is 333133113411.

114311331333 is a `hidden beast` number, since 1 + 1 + 4 + 311 + 3 + 313 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44521844004 + 69789487329 = 211002^2 + 264177^2 .

It is not a de Polignac number, because 114311331333 - 234 = 97131462149 is a prime.

It is a super-2 number, since 2×1143113313332 (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 = 114311331297 and 114311331306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114311331313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289791 + ... + 559107.

Almost surely, 2114311331333 is an apocalyptic number.

It is an amenable number.

114311331333 is a deficient number, since it is larger than the sum of its proper divisors (50809150375).

114311331333 is a wasteful number, since it uses less digits than its factorization.

114311331333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316484 (or 316481 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 114311331333 its reverse (333133113411), we get a palindrome (447444444744).

The spelling of 114311331333 in words is "one hundred fourteen billion, three hundred eleven million, three hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 47161 141483 269317 424449 807951 2423853 12701259037 38103777111 114311331333