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2105665012 = 2211672233203
BaseRepresentation
bin111110110000001…
…1110010111110100
312102202011212101001
41331200132113310
513303022240022
6544535413044
7103115600023
oct17540362764
95382155331
102105665012
11990658320
124a9224184
13277322539
1415d9228ba
15c4cd5b27
hex7d81e5f4

2105665012 has 48 divisors (see below), whose sum is σ = 4099479552. Its totient is φ = 938314080.

The previous prime is 2105664941. The next prime is 2105665057.

2105665012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655803 + ... + 659005.

It is an arithmetic number, because the mean of its divisors is an integer number (85405824).

Almost surely, 22105665012 is an apocalyptic number.

2105665012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2105665012 is a deficient number, since it is larger than the sum of its proper divisors (1993814540).

2105665012 is a wasteful number, since it uses less digits than its factorization.

2105665012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2105665012 is about 45887.5256687479. The cubic root of 2105665012 is about 1281.7296384466.

It can be divided in two parts, 21056 and 65012, that added together give a palindrome (86068).

The spelling of 2105665012 in words is "two billion, one hundred five million, six hundred sixty-five thousand, twelve".

Divisors: 1 2 4 11 22 44 67 134 223 268 446 737 892 1474 2453 2948 3203 4906 6406 9812 12812 14941 29882 35233 59764 70466 140932 164351 214601 328702 429202 657404 714269 858404 1428538 2360611 2857076 4721222 7856959 9442444 15713918 31427836 47856023 95712046 191424092 526416253 1052832506 2105665012