Search a number
-
+
11321021324040 = 23351011974741511
BaseRepresentation
bin1010010010111110000101…
…1101000101101100001000
31111002021112102220121111120
42210233201131011230020
52440440422424332130
640024445544355240
72245626314336001
oct244574135055410
944067472817446
1011321021324040
11367524444308a
12132a10b175b20
1364174c3c272c
142b1d2449c1a8
151497445c8910
hexa4be1745b08

11321021324040 has 128 divisors (see below), whose sum is σ = 34473447486720. Its totient is φ = 2973875072000.

The previous prime is 11321021323987. The next prime is 11321021324057. The reversal of 11321021324040 is 4042312012311.

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 11321021324040.

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, 16885 + ... + 4758395.

It is an arithmetic number, because the mean of its divisors is an integer number (269323808490).

Almost surely, 211321021324040 is an apocalyptic number.

11321021324040 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 11321021324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236723743360).

11321021324040 is an abundant number, since it is smaller than the sum of its proper divisors (23152426162680).

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

11321021324040 is a wasteful number, since it uses less digits than its factorization.

11321021324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741823 (or 4741819 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11321021324040 its reverse (4042312012311), we get a palindrome (15363333336351).

The spelling of 11321021324040 in words is "eleven trillion, three hundred twenty-one billion, twenty-one million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 197 202 303 394 404 505 591 606 788 808 985 1010 1182 1212 1515 1576 1970 2020 2364 2424 2955 3030 3940 4040 4728 5910 6060 7880 11820 12120 19897 23640 39794 59691 79588 99485 119382 159176 198970 238764 298455 397940 477528 596910 795880 1193820 2387640 4741511 9483022 14224533 18966044 23707555 28449066 37932088 47415110 56898132 71122665 94830220 113796264 142245330 189660440 284490660 478892611 568981320 934077667 957785222 1436677833 1868155334 1915570444 2394463055 2802233001 2873355666 3736310668 3831140888 4670388335 4788926110 5604466002 5746711332 7183389165 7472621336 9340776670 9577852220 11208932004 11493422664 14011165005 14366778330 18681553340 19155704440 22417864008 28022330010 28733556660 37363106680 56044660020 57467113320 94341844367 112089320040 188683688734 283025533101 377367377468 471709221835 566051066202 754734754936 943418443670 1132102132404 1415127665505 1886836887340 2264204264808 2830255331010 3773673774680 5660510662020 11321021324040