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11223210312 = 23341071571031
BaseRepresentation
bin10100111001111010…
…01001100101001000
31001222011110011020000
422130331021211020
5140441120212222
65053400203000
7545056466526
oct123475114510
931864404200
1011223210312
11483a234026
122212769460
13109b24a362
147867b5316
1545a4809ac
hex29cf49948

11223210312 has 160 divisors (see below), whose sum is σ = 31962237120. Its totient is φ = 3678929280.

The previous prime is 11223210293. The next prime is 11223210329. The reversal of 11223210312 is 21301232211.

11223210312 is a `hidden beast` number, since 11 + 22 + 321 + 0 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10885237 + ... + 10886267.

It is an arithmetic number, because the mean of its divisors is an integer number (199763982).

Almost surely, 211223210312 is an apocalyptic number.

11223210312 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 11223210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981118560).

11223210312 is an abundant number, since it is smaller than the sum of its proper divisors (20739026808).

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

11223210312 is a wasteful number, since it uses less digits than its factorization.

11223210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1300 counting only the distinct ones).

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

Adding to 11223210312 its reverse (21301232211), we get a palindrome (32524442523).

The spelling of 11223210312 in words is "eleven billion, two hundred twenty-three million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 157 162 214 216 314 321 324 428 471 628 642 648 856 942 963 1031 1256 1284 1413 1884 1926 2062 2568 2826 2889 3093 3768 3852 4124 4239 5652 5778 6186 7704 8248 8478 8667 9279 11304 11556 12372 12717 16799 16956 17334 18558 23112 24744 25434 27837 33598 33912 34668 37116 50397 50868 55674 67196 69336 74232 83511 100794 101736 110317 111348 134392 151191 161867 167022 201588 220634 222696 302382 323734 330951 334044 403176 441268 453573 485601 604764 647468 661902 668088 882536 907146 971202 992853 1209528 1294936 1323804 1360719 1456803 1814292 1942404 1985706 2647608 2721438 2913606 2978559 3628584 3884808 3971412 4370409 5442876 5827212 5957118 7942824 8740818 8935677 10885752 11654424 11914236 13111227 17319769 17481636 17871354 23828472 26222454 34639538 34963272 35742708 51959307 52444908 69279076 71485416 103918614 104889816 138558152 155877921 207837228 311755842 415674456 467633763 623511684 935267526 1247023368 1402901289 1870535052 2805802578 3741070104 5611605156 11223210312