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221112122022 = 2321122917412801
BaseRepresentation
bin1100110111101101001…
…1110011101010100110
3210010201200110121100200
43031323103303222212
512110314200401042
6245324424051330
721655236012111
oct3157323635246
9703650417320
10221112122022
1185856034a30
1236a2a003b46
1317b0a23017c
14a9b7d7d578
155b41b6cc4c
hex337b4f3aa6

221112122022 has 96 divisors (see below), whose sum is σ = 525399881760. Its totient is φ = 66648960000.

The previous prime is 221112122003. The next prime is 221112122041. The reversal of 221112122022 is 220221211122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221112122003) and next prime (221112122041).

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 = 221112121986 and 221112122004.

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, 78939022 + ... + 78941822.

It is an arithmetic number, because the mean of its divisors is an integer number (5472915435).

Almost surely, 2221112122022 is an apocalyptic number.

221112122022 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 221112122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262699940880).

221112122022 is an abundant number, since it is smaller than the sum of its proper divisors (304287759738).

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

221112122022 is a wasteful number, since it uses less digits than its factorization.

221112122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4787 counting only the distinct ones).

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

Adding to 221112122022 its reverse (220221211122), we get a palindrome (441333333144).

The spelling of 221112122022 in words is "two hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 229 458 687 1374 1741 2061 2519 2801 3482 4122 5038 5223 5602 7557 8403 10446 15114 15669 16806 19151 22671 25209 30811 31338 38302 45342 50418 57453 61622 92433 114906 172359 184866 277299 344718 398689 554598 641429 797378 1196067 1282858 1924287 2392134 3588201 3848574 4385579 4876541 5772861 7055719 7176402 8771158 9753082 11545722 13156737 14111438 14629623 21167157 26313474 29259246 39470211 42334314 43888869 53641951 63501471 78940422 87777738 107283902 127002942 160925853 321851706 482777559 965555118 1116727889 2233455778 3350183667 6700367334 10050551001 12284006779 20101102002 24568013558 36852020337 73704040674 110556061011 221112122022