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2121166212 = 2231147536451
BaseRepresentation
bin111111001101110…
…0110110110000100
312110211100102000120
41332123212312010
513321004304322
6550251541540
7103364421024
oct17633466604
95424312016
102121166212
11999385630
124b245a8b0
1327a5bc049
141619d9a84
15c6348a5c
hex7e6e6d84

2121166212 has 96 divisors (see below), whose sum is σ = 5619124224. Its totient is φ = 617136000.

The previous prime is 2121166193. The next prime is 2121166253. The reversal of 2121166212 is 2126611212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325587 + ... + 332037.

It is an arithmetic number, because the mean of its divisors is an integer number (58532544).

Almost surely, 22121166212 is an apocalyptic number.

2121166212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121166212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809562112).

2121166212 is an abundant number, since it is smaller than the sum of its proper divisors (3497958012).

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

2121166212 is a wasteful number, since it uses less digits than its factorization.

2121166212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6567 counting only the distinct ones).

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

The square root of 2121166212 is about 46056.1202447623. The cubic root of 2121166212 is about 1284.8671731570.

Adding to 2121166212 its reverse (2126611212), we get a palindrome (4247777424).

The spelling of 2121166212 in words is "two billion, one hundred twenty-one million, one hundred sixty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 53 66 94 106 132 141 159 188 212 282 318 517 564 583 636 1034 1166 1551 1749 2068 2332 2491 3102 3498 4982 6204 6451 6996 7473 9964 12902 14946 19353 25804 27401 29892 38706 54802 70961 77412 82203 109604 141922 164406 212883 283844 303197 328812 341903 425766 606394 683806 851532 909591 1025709 1212788 1367612 1819182 2051418 3335167 3638364 3760933 4102836 6670334 7521866 10005501 11282799 13340668 15043732 16069441 20011002 22565598 32138882 40022004 45131196 48208323 64277764 96416646 176763851 192833292 353527702 530291553 707055404 1060583106 2121166212