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211321012122 = 232113728845347
BaseRepresentation
bin1100010011001110110…
…1101011111110011010
3202012110022202200120200
43010303231223332122
511430241134341442
6241025102403030
721160505652153
oct3046355537632
9665408680520
10211321012122
1181691225170
1234b56b90476
1316c098c060c
14a32987492a
15576c2c334c
hex3133b6bf9a

211321012122 has 48 divisors (see below), whose sum is σ = 512985668832. Its totient is φ = 62305947360.

The previous prime is 211321012099. The next prime is 211321012151. The reversal of 211321012122 is 221210123112.

211321012122 is a `hidden beast` number, since 211 + 321 + 0 + 12 + 122 = 666.

It is a super-4 number, since 4×2113210121224 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211321012095 and 211321012104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14415348 + ... + 14429999.

It is an arithmetic number, because the mean of its divisors is an integer number (10687201434).

Almost surely, 2211321012122 is an apocalyptic number.

211321012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211321012122 is an abundant number, since it is smaller than the sum of its proper divisors (301664656710).

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

211321012122 is a wasteful number, since it uses less digits than its factorization.

211321012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28845403 (or 28845400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211321012122 its reverse (221210123112), we get a palindrome (432531135234).

The spelling of 211321012122 in words is "two hundred eleven billion, three hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 28845347 57690694 86536041 173072082 259608123 317298817 519216246 634597634 951896451 1067277839 1903792902 2134555678 2855689353 3201833517 5711378706 6403667034 9605500551 11740056229 19211001102 23480112458 35220168687 70440337374 105660506061 211321012122