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11525423221320 = 23353171229246527
BaseRepresentation
bin1010011110110111100011…
…0000011100101001001000
31111210211010120010211212120
42213231320300130221020
53002313031321040240
640302412322411240
72266453505652531
oct247557060345110
944724116124776
1011525423221320
1137439a4a39918
121361854b00b20
13657ac568a348
142bbb9502d688
1514ec0920dad0
hexa7b78c1ca48

11525423221320 has 128 divisors (see below), whose sum is σ = 34713706291200. Its totient is φ = 3061245479936.

The previous prime is 11525423221307. The next prime is 11525423221321. The reversal of 11525423221320 is 2312232452511.

It is not an unprimeable number, because it can be changed into a prime (11525423221321) 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, 46627897 + ... + 46874423.

It is an arithmetic number, because the mean of its divisors is an integer number (271200830400).

Almost surely, 211525423221320 is an apocalyptic number.

11525423221320 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 11525423221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356853145600).

11525423221320 is an abundant number, since it is smaller than the sum of its proper divisors (23188283069880).

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

11525423221320 is a wasteful number, since it uses less digits than its factorization.

11525423221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248087 (or 248083 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 11525423221320 its reverse (2312232452511), we get a palindrome (13837655673831).

The spelling of 11525423221320 in words is "eleven trillion, five hundred twenty-five billion, four hundred twenty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1229 1268 1585 1902 2458 2536 3170 3687 3804 4755 4916 6145 6340 7374 7608 9510 9832 12290 12680 14748 18435 19020 24580 29496 36870 38040 49160 73740 147480 246527 389593 493054 739581 779186 986108 1168779 1232635 1479162 1558372 1947965 1972216 2337558 2465270 2958324 3116744 3697905 3895930 4675116 4930540 5843895 5916648 7395810 7791860 9350232 9861080 11687790 14791620 15583720 23375580 29583240 46751160 78149059 156298118 234447177 302981683 312596236 390745295 468894354 605963366 625192472 781490590 908945049 937788708 1172235885 1211926732 1514908415 1562981180 1817890098 1875577416 2344471770 2423853464 3029816830 3125962360 3635780196 4544725245 4688943540 6059633660 7271560392 9089450490 9377887080 12119267320 18178900980 36357801960 96045193511 192090387022 288135580533 384180774044 480225967555 576271161066 768361548088 960451935110 1152542322132 1440677902665 1920903870220 2305084644264 2881355805330 3841807740440 5762711610660 11525423221320