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11211303222 = 23271933491321
BaseRepresentation
bin10100111000011111…
…01110100100110110
31001221100001012202200
422130033232210312
5140430043200342
65052253045330
7544553335140
oct123417564466
931840035680
1011211303222
114833541059
12220a786846
13109893b742
14784d95c90
154593cc94c
hex29c3ee936

11211303222 has 96 divisors (see below), whose sum is σ = 28006305600. Its totient is φ = 3175096320.

The previous prime is 11211303203. The next prime is 11211303223. The reversal of 11211303222 is 22230311211.

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 = 11211303195 and 11211303204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211303223) 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, 8486322 + ... + 8487642.

It is an arithmetic number, because the mean of its divisors is an integer number (291732350).

Almost surely, 211211303222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211303222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003152800).

11211303222 is an abundant number, since it is smaller than the sum of its proper divisors (16795002378).

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

11211303222 is a wasteful number, since it uses less digits than its factorization.

11211303222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11211303222 its reverse (22230311211), we get a palindrome (33441614433).

The spelling of 11211303222 in words is "eleven billion, two hundred eleven million, three hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 193 349 386 579 698 1047 1158 1321 1351 1737 2094 2443 2642 2702 3141 3474 3963 4053 4886 6282 7329 7926 8106 9247 11889 12159 14658 18494 21987 23778 24318 27741 43974 55482 67357 83223 134714 166446 202071 254953 404142 461029 471499 509906 606213 764859 922058 942998 1212426 1383087 1414497 1529718 1784671 2294577 2766174 2828994 3227203 3569342 4149261 4243491 4589154 5354013 6454406 8298522 8486982 9681609 10708026 16062039 19363218 29044827 32124078 58089654 88978597 177957194 266935791 533871582 622850179 800807373 1245700358 1601614746 1868550537 3737101074 5605651611 11211303222