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1030211312 = 2413192989101
BaseRepresentation
bin111101011001111…
…100011011110000
32122210112011020112
4331121330123300
54102213230222
6250121000452
734346436344
oct7531743360
92583464215
101030211312
11489589009
12249023128
131355873c0
149ab73624
156069cbe2
hex3d67c6f0

1030211312 has 160 divisors (see below), whose sum is σ = 2390472000. Its totient is φ = 425779200.

The previous prime is 1030211309. The next prime is 1030211317. The reversal of 1030211312 is 2131120301.

It is a super-2 number, since 2×10302113122 = 2122670694745522688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030211317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10200062 + ... + 10200162.

It is an arithmetic number, because the mean of its divisors is an integer number (14940450).

Almost surely, 21030211312 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 1030211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195236000).

1030211312 is an abundant number, since it is smaller than the sum of its proper divisors (1360260688).

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

1030211312 is a wasteful number, since it uses less digits than its factorization.

1030211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1030211312 is about 32096.9050221357. The cubic root of 1030211312 is about 1009.9706922189.

Adding to 1030211312 its reverse (2131120301), we get a palindrome (3161331613).

The spelling of 1030211312 in words is "one billion, thirty million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 29 38 52 58 76 89 101 104 116 152 178 202 208 232 247 304 356 377 404 464 494 551 712 754 808 988 1102 1157 1313 1424 1508 1616 1691 1919 1976 2204 2314 2581 2626 2929 3016 3382 3838 3952 4408 4628 5162 5252 5858 6032 6764 7163 7676 8816 8989 9256 10324 10504 11716 13528 14326 15352 17978 18512 20648 21008 21983 23432 24947 27056 28652 30704 33553 35956 38077 41296 43966 46864 49039 49894 55651 57304 67106 71912 76154 87932 98078 99788 111302 114608 116857 134212 143824 152308 170791 175864 196156 199576 222604 233714 260681 268424 304616 341582 351728 392312 399152 445208 467428 521362 536848 609232 637507 683164 723463 784624 890416 934856 1042724 1275014 1366328 1446926 1869712 2085448 2220283 2550028 2732656 2893852 3388853 4170896 4440566 4952939 5100056 5787704 6777706 8881132 9905878 10200112 11575408 13555412 17762264 19811756 27110824 35524528 39623512 54221648 64388207 79247024 128776414 257552828 515105656 1030211312