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2121112122 = 234127131817
BaseRepresentation
bin111111001101101…
…1001101000111010
312110211020122211020
41332123121220322
513321001041442
6550250443310
7103364104233
oct17633315072
95424218736
102121112122
11999348a28
124b2433536
1327a5a053c
141619c408a
15c63379ec
hex7e6d9a3a

2121112122 has 32 divisors (see below), whose sum is σ = 4361865984. Its totient is φ = 687225600.

The previous prime is 2121112093. The next prime is 2121112157. The reversal of 2121112122 is 2212111212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50758 + ... + 82574.

It is an arithmetic number, because the mean of its divisors is an integer number (136308312).

Almost surely, 22121112122 is an apocalyptic number.

2121112122 is an abundant number, since it is smaller than the sum of its proper divisors (2240753862).

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

2121112122 is a wasteful number, since it uses less digits than its factorization.

2121112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32134.

The product of its digits is 32, while the sum is 15.

The square root of 2121112122 is about 46055.5330226456. The cubic root of 2121112122 is about 1284.8562516404.

Adding to 2121112122 its reverse (2212111212), we get a palindrome (4333223334).

It can be divided in two parts, 212111212 and 2, that multiplied together give a palindrome (424222424).

The spelling of 2121112122 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 41 82 123 246 271 542 813 1626 11111 22222 31817 33333 63634 66666 95451 190902 1304497 2608994 3913491 7826982 8622407 17244814 25867221 51734442 353518687 707037374 1060556061 2121112122