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2711082114 = 2321324121737
BaseRepresentation
bin1010000110010111…
…1101010010000010
320222221101020111200
42201211331102002
521023014111424
61125003522030
7124116550326
oct24145752202
96887336450
102711082114
111171376134
12637b29316
13342896a00
141ba0b9986
1510d0238c9
hexa197d482

2711082114 has 72 divisors (see below), whose sum is σ = 6516052452. Its totient is φ = 813795840.

The previous prime is 2711082113. The next prime is 2711082131. The reversal of 2711082114 is 4112801172.

It can be written as a sum of positive squares in 6 ways, for example, as 68608089 + 2642474025 = 8283^2 + 51405^2 .

It is not an unprimeable number, because it can be changed into a prime (2711082113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113854 + ... + 135590.

Almost surely, 22711082114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2711082114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258026226).

2711082114 is an abundant number, since it is smaller than the sum of its proper divisors (3804970338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2711082114 is a wasteful number, since it uses less digits than its factorization.

2711082114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21812 (or 21796 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 2711082114 is about 52068.0527194939. The cubic root of 2711082114 is about 1394.3791834269.

Adding to 2711082114 its reverse (4112801172), we get a palindrome (6823883286).

The spelling of 2711082114 in words is "two billion, seven hundred eleven million, eighty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 169 234 246 338 369 507 533 738 1014 1066 1521 1599 3042 3198 4797 6929 9594 13858 20787 21737 41574 43474 62361 65211 124722 130422 195633 282581 391266 565162 847743 891217 1695486 1782434 2543229 2673651 3673553 5086458 5347302 7347106 8020953 11020659 11585821 16041906 22041318 23171642 33061977 34757463 66123954 69514926 104272389 150615673 208544778 301231346 451847019 903694038 1355541057 2711082114