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11231013480 = 2335432837691
BaseRepresentation
bin10100111010110101…
…11010101001101000
31001222201010121011020
422131122322221220
5141000114412410
65054235332440
7545213016351
oct123532725150
931881117136
1011231013480
114843683725
1222152b1120
13109ca5000b
14787846d28
1545aec2a70
hex29d6baa68

11231013480 has 128 divisors (see below), whose sum is σ = 34602923520. Its totient is φ = 2914571520.

The previous prime is 11231013463. The next prime is 11231013491. The reversal of 11231013480 is 8431013211.

It is a super-3 number, since 3×112310134803 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11231013480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456435 + ... + 1464125.

It is an arithmetic number, because the mean of its divisors is an integer number (270335340).

Almost surely, 211231013480 is an apocalyptic number.

11231013480 is a gapful number since it is divisible by the number (10) 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 11231013480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301461760).

11231013480 is an abundant number, since it is smaller than the sum of its proper divisors (23371910040).

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

11231013480 is a wasteful number, since it uses less digits than its factorization.

11231013480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8031 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11231013480 its reverse (8431013211), we get a palindrome (19662026691).

The spelling of 11231013480 in words is "eleven billion, two hundred thirty-one million, thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 283 344 430 516 566 645 849 860 1032 1132 1290 1415 1698 1720 2264 2580 2830 3396 4245 5160 5660 6792 7691 8490 11320 12169 15382 16980 23073 24338 30764 33960 36507 38455 46146 48676 60845 61528 73014 76910 92292 97352 115365 121690 146028 153820 182535 184584 230730 243380 292056 307640 330713 365070 461460 486760 661426 730140 922920 992139 1322852 1460280 1653565 1984278 2176553 2645704 3307130 3968556 4353106 4960695 6529659 6614260 7937112 8706212 9921390 10882765 13059318 13228520 17412424 19842780 21765530 26118636 32648295 39685560 43531060 52237272 65296590 87062120 93591779 130593180 187183558 261186360 280775337 374367116 467958895 561550674 748734232 935917790 1123101348 1403876685 1871835580 2246202696 2807753370 3743671160 5615506740 11231013480