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11212315530 = 23513192952177
BaseRepresentation
bin10100111000100111…
…00101101110001010
31001221101221122101120
422130103211232022
5140430323044110
65052330500110
7544565052363
oct123423455612
931841848346
1011212315530
114834072679
12220ab94636
131098c04440
1478517ab6a
1545952c870
hex29c4e5b8a

11212315530 has 128 divisors (see below), whose sum is σ = 31557254400. Its totient is φ = 2524483584.

The previous prime is 11212315529. The next prime is 11212315553. The reversal of 11212315530 is 3551321211.

11212315530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11212315530.

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 63 ways as a sum of consecutive naturals, for example, 188802 + ... + 240978.

It is an arithmetic number, because the mean of its divisors is an integer number (246541050).

Almost surely, 211212315530 is an apocalyptic number.

11212315530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212315530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778627200).

11212315530 is an abundant number, since it is smaller than the sum of its proper divisors (20344938870).

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

11212315530 is a wasteful number, since it uses less digits than its factorization.

11212315530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52248.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11212315530 its reverse (3551321211), we get a palindrome (14763636741).

The spelling of 11212315530 in words is "eleven billion, two hundred twelve million, three hundred fifteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 29 30 38 39 57 58 65 78 87 95 114 130 145 174 190 195 247 285 290 377 390 435 494 551 570 741 754 870 1102 1131 1235 1482 1653 1885 2262 2470 2755 3306 3705 3770 5510 5655 7163 7410 8265 11310 14326 16530 21489 35815 42978 52177 71630 104354 107445 156531 214890 260885 313062 521770 678301 782655 991363 1356602 1513133 1565310 1982726 2034903 2974089 3026266 3391505 4069806 4539399 4956815 5948178 6783010 7565665 9078798 9913630 10174515 12887719 14870445 15131330 19670729 20349030 22696995 25775438 28749527 29740890 38663157 39341458 45393990 57499054 59012187 64438595 77326314 86248581 98353645 118024374 128877190 143747635 172497162 193315785 196707290 287495270 295060935 373743851 386631570 431242905 590121870 747487702 862485810 1121231553 1868719255 2242463106 3737438510 5606157765 11212315530