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2121661212 = 2231197165703
BaseRepresentation
bin111111001110101…
…1111101100011100
312110212021120000220
41332131133230130
513321121124322
6550310321340
7103401552126
oct17635375434
95425246026
102121661212
11999693520
124b2659250
1327a733448
14161ac8216
15c63e555c
hex7e75fb1c

2121661212 has 48 divisors (see below), whose sum is σ = 5456301312. Its totient is φ = 636295680.

The previous prime is 2121661177. The next prime is 2121661249.

2121661212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 70048 + ... + 95655.

It is an arithmetic number, because the mean of its divisors is an integer number (113672944).

Almost surely, 22121661212 is an apocalyptic number.

2121661212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2121661212 is an abundant number, since it is smaller than the sum of its proper divisors (3334640100).

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

2121661212 is a wasteful number, since it uses less digits than its factorization.

2121661212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165818 (or 165816 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 2121661212 is about 46061.4938099059. The cubic root of 2121661212 is about 1284.9671118574.

It can be divided in two parts, 21216 and 61212, that added together give a palindrome (82428).

The spelling of 2121661212 in words is "two billion, one hundred twenty-one million, six hundred sixty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 165703 331406 497109 662812 994218 1822733 1988436 3645466 5468199 7290932 10936398 16073191 21872796 32146382 48219573 64292764 96439146 176805101 192878292 353610202 530415303 707220404 1060830606 2121661212