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211221122022 = 23247249670357
BaseRepresentation
bin1100010010110111000…
…0101000101111100110
3202012012100210202010100
43010231300220233212
511430040101401042
6241011133404530
721155153625321
oct3045560505746
9665170722110
10211221122022
118163a8a9269
1234b29639746
1316bc1cb7b51
14a31a4b17b8
15576364124c
hex312dc28be6

211221122022 has 24 divisors (see below), whose sum is σ = 467382910176. Its totient is φ = 68909018256.

The previous prime is 211221122009. The next prime is 211221122029. The reversal of 211221122022 is 220221122112.

It is a happy number.

211221122022 is a `hidden beast` number, since 211 + 2 + 211 + 220 + 22 = 666.

211221122022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112211220222 (a number of 23 digits) contains 22 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 = 211221121986 and 211221122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221122029) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 124834333 + ... + 124836024.

It is an arithmetic number, because the mean of its divisors is an integer number (19474287924).

Almost surely, 2211221122022 is an apocalyptic number.

211221122022 is an abundant number, since it is smaller than the sum of its proper divisors (256161788154).

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

211221122022 is a wasteful number, since it uses less digits than its factorization.

211221122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249670412 (or 249670409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211221122022 its reverse (220221122112), we get a palindrome (431442244134).

The spelling of 211221122022 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 249670357 499340714 749011071 1498022142 2247033213 4494066426 11734506779 23469013558 35203520337 70407040674 105610561011 211221122022