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11231230208 = 281161151433
BaseRepresentation
bin10100111010110111…
…01111100100000000
31001222201112121110012
422131123233210000
5141000143331313
65054244124052
7545214611252
oct123533574400
931881477405
1011231230208
114843811540
122215396628
13109cac7863
147878a1cd2
1545b016da8
hex29d6ef900

11231230208 has 144 divisors (see below), whose sum is σ = 25079978112. Its totient is φ = 4976640000.

The previous prime is 11231230193. The next prime is 11231230223. The reversal of 11231230208 is 80203213211.

It is a happy number.

11231230208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11231230193) and next prime (11231230223).

It is a super-2 number, since 2×112312302082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25937960 + ... + 25938392.

Almost surely, 211231230208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539989056).

11231230208 is an abundant number, since it is smaller than the sum of its proper divisors (13848747904).

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

11231230208 is a wasteful number, since it uses less digits than its factorization.

11231230208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11231230208 its reverse (80203213211), we get a palindrome (91434443419).

The spelling of 11231230208 in words is "eleven billion, two hundred thirty-one million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 151 176 244 256 302 352 433 488 604 671 704 866 976 1208 1342 1408 1661 1732 1952 2416 2684 2816 3322 3464 3904 4763 4832 5368 6644 6928 7808 9211 9526 9664 10736 13288 13856 15616 18422 19052 19328 21472 26413 26576 27712 36844 38104 38656 42944 52826 53152 55424 65383 73688 76208 85888 101321 105652 106304 110848 130766 147376 152416 171776 202642 211304 212608 261532 290543 294752 304832 405284 422608 425216 523064 581086 589504 609664 719213 810568 845216 1046128 1162172 1179008 1219328 1438426 1621136 1690432 2092256 2324344 2358016 2876852 3242272 3380864 3988363 4184512 4648688 5753704 6484544 6761728 7976726 8369024 9297376 11507408 12969088 15953452 16738048 18594752 23014816 25938176 31906904 37189504 43871993 46029632 63813808 74379008 87743986 92059264 127627616 175487972 184118528 255255232 350975944 510510464 701951888 1021020928 1403903776 2807807552 5615615104 11231230208