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211221110022 = 2313167101915913
BaseRepresentation
bin1100010010110111000…
…0100101110100000110
3202012012100210010122220
43010231300211310012
511430040101010042
6241011133233210
721155153545326
oct3045560456406
9665170703586
10211221110022
118163a8a024a
1234b29632806
1316bc1cb2550
14a31a4ab286
15576363c8ec
hex312dc25d06

211221110022 has 64 divisors (see below), whose sum is σ = 458139870720. Its totient is φ = 64534489344.

The previous prime is 211221110021. The next prime is 211221110059. The reversal of 211221110022 is 220011122112.

It is a super-2 number, since 2×2112211100222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221109983 and 211221110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13265538 + ... + 13281450.

It is an arithmetic number, because the mean of its divisors is an integer number (7158435480).

Almost surely, 2211221110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229069935360).

211221110022 is an abundant number, since it is smaller than the sum of its proper divisors (246918760698).

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

211221110022 is a wasteful number, since it uses less digits than its factorization.

211221110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17117.

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

Adding to 211221110022 its reverse (220011122112), we get a palindrome (431232232134).

The spelling of 211221110022 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 167 334 501 1002 1019 2038 2171 3057 4342 6114 6513 13026 13247 15913 26494 31826 39741 47739 79482 95478 170173 206869 340346 413738 510519 620607 1021038 1241214 2212249 2657471 4424498 5314942 6636747 7972413 13273494 15944826 16215347 32430694 34547123 48646041 69094246 97292082 103641369 207282738 210799511 421599022 632398533 1264797066 2707962949 5415925898 8123888847 16247777694 35203518337 70407036674 105610555011 211221110022