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11222212212 = 223219611012663
BaseRepresentation
bin10100111001110010…
…10101111001110100
31001222002120110002100
422130321111321310
5140440341242322
65053322542100
7545045141601
oct123471257164
931862513070
1011222212212
114839712152
122212367930
13109ac8ac73
147865d56a8
1545a334dac
hex29ce55e74

11222212212 has 144 divisors (see below), whose sum is σ = 30661787520. Its totient is φ = 3449952000.

The previous prime is 11222212207. The next prime is 11222212219. The reversal of 11222212212 is 21221222211.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222212219) 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 47 ways as a sum of consecutive naturals, for example, 4212793 + ... + 4215455.

It is an arithmetic number, because the mean of its divisors is an integer number (212929080).

Almost surely, 211222212212 is an apocalyptic number.

11222212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330893760).

11222212212 is an abundant number, since it is smaller than the sum of its proper divisors (19439575308).

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

11222212212 is a wasteful number, since it uses less digits than its factorization.

11222212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2849 counting only the distinct ones).

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

Adding to 11222212212 its reverse (21221222211), we get a palindrome (32443434423).

Subtracting 11222212212 from its reverse (21221222211), we obtain a palindrome (9999009999).

The spelling of 11222212212 in words is "eleven billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 101 114 122 171 183 202 228 244 303 342 366 404 549 606 684 732 909 1098 1159 1212 1818 1919 2196 2318 2663 3477 3636 3838 4636 5326 5757 6161 6954 7676 7989 10431 10652 11514 12322 13908 15978 17271 18483 20862 23028 23967 24644 31956 34542 36966 41724 47934 50597 55449 69084 73932 95868 101194 110898 117059 151791 162443 202388 221796 234118 268963 303582 324886 351177 455373 468236 487329 537926 607164 649772 702354 806889 910746 974658 1053531 1075852 1404708 1461987 1613778 1821492 1949316 2107062 2420667 2923974 3086417 3227556 4214124 4841334 5110297 5847948 6172834 9259251 9682668 10220594 12345668 15330891 16406743 18518502 20441188 27777753 30661782 32813486 37037004 45992673 49220229 55555506 61323564 65626972 91985346 98440458 111111012 147660687 183970692 196880916 295321374 311728117 590642748 623456234 935184351 1246912468 1870368702 2805553053 3740737404 5611106106 11222212212