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221221121022 = 2321129103374047
BaseRepresentation
bin1100111000000111001…
…1100110101111111110
3210011000021120022212200
43032001303212233332
512111030101333042
6245343320212330
721661031334336
oct3160163465776
9704007508780
10221221121022
1185901612550
1236a5a60a0a6
1317b269a4a15
14a9c86340c6
155b4b4edc4c
hex3381ce6bfe

221221121022 has 96 divisors (see below), whose sum is σ = 546169927680. Its totient is φ = 64096522560.

The previous prime is 221221120999. The next prime is 221221121117. The reversal of 221221121022 is 220121122122.

It is a happy number.

221221121022 is a `hidden beast` number, since 221 + 2 + 211 + 210 + 22 = 666.

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 = 221221120986 and 221221121004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 404403 + ... + 778449.

It is an arithmetic number, because the mean of its divisors is an integer number (5689270080).

Almost surely, 2221221121022 is an apocalyptic number.

221221121022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221221121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273084963840).

221221121022 is an abundant number, since it is smaller than the sum of its proper divisors (324948806658).

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

221221121022 is a wasteful number, since it uses less digits than its factorization.

221221121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374198 (or 374195 counting only the distinct ones).

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

Adding to 221221121022 its reverse (220121122122), we get a palindrome (441342243144).

It can be divided in two parts, 221221 and 121022, that added together give a palindrome (342243).

The spelling of 221221121022 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 103 174 198 206 261 309 319 522 618 638 927 957 1133 1854 1914 2266 2871 2987 3399 5742 5974 6798 8961 10197 17922 20394 26883 32857 53766 65714 98571 197142 295713 374047 591426 748094 1122141 2244282 3366423 4114517 6732846 8229034 10847363 12343551 21694726 24687102 32542089 37030653 38526841 65084178 74061306 77053682 97626267 115580523 119320993 195252534 231161046 238641986 346741569 357962979 423795251 693483138 715925958 847590502 1073888937 1117278389 1271385753 2147777874 2234556778 2542771506 3351835167 3814157259 6703670334 7628314518 10055505501 12290062279 20111011002 24580124558 36870186837 73740373674 110610560511 221221121022