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2114334013 = 111731569641
BaseRepresentation
bin111111000000110…
…0010110100111101
312110100111022000011
41332001202310331
513312232142023
6545445303221
7103252354051
oct17601426475
95410438004
102114334013
11995539490
124b0104b11
1327906931c
14160b3bc61
15c594950d
hex7e062d3d

2114334013 has 32 divisors (see below), whose sum is σ = 2529377280. Its totient is φ = 1744896000.

The previous prime is 2114333999. The next prime is 2114334029. The reversal of 2114334013 is 3104334112.

It is a cyclic number.

It is not a de Polignac number, because 2114334013 - 25 = 2114333981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114334083) 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, 3298173 + ... + 3298813.

It is an arithmetic number, because the mean of its divisors is an integer number (79043040).

Almost surely, 22114334013 is an apocalyptic number.

It is an amenable number.

2114334013 is a deficient number, since it is larger than the sum of its proper divisors (415043267).

2114334013 is a wasteful number, since it uses less digits than its factorization.

2114334013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2114334013 is about 45981.8878799033. The cubic root of 2114334013 is about 1283.4861859577.

Adding to 2114334013 its reverse (3104334112), we get a palindrome (5218668125).

Subtracting 2114334013 from its reverse (3104334112), we obtain a palindrome (990000099).

The spelling of 2114334013 in words is "two billion, one hundred fourteen million, three hundred thirty-four thousand, thirteen".

Divisors: 1 11 17 31 187 341 527 569 641 5797 6259 7051 9673 10897 17639 19871 106403 119867 194029 218581 299863 337807 364729 3298493 3715877 4012019 6200393 11306599 68204323 124372589 192212183 2114334013