Search a number
-
+
11120230320 = 2435195941333
BaseRepresentation
bin10100101101101000…
…10011111110110000
31001200222200020020020
422112310103332300
5140233234332240
65035241043440
7542366253363
oct122664237660
931628606206
1011120230320
1147970976a1
1221a4186580
131082b02354
14776c4a0da
154513dd0d0
hex296d13fb0

11120230320 has 160 divisors (see below), whose sum is σ = 36902995200. Its totient is φ = 2761638912.

The previous prime is 11120230313. The next prime is 11120230321. The reversal of 11120230320 is 2303202111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11120230320.

It is not an unprimeable number, because it can be changed into a prime (11120230321) 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, 248374 + ... + 289706.

It is an arithmetic number, because the mean of its divisors is an integer number (230643720).

Almost surely, 211120230320 is an apocalyptic number.

11120230320 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 11120230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451497600).

11120230320 is an abundant number, since it is smaller than the sum of its proper divisors (25782764880).

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

11120230320 is a wasteful number, since it uses less digits than its factorization.

11120230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41427 (or 41421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11120230320 its reverse (2303202111), we get a palindrome (13423432431).

The spelling of 11120230320 in words is "eleven billion, one hundred twenty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 59 60 76 80 95 114 118 120 152 177 190 228 236 240 285 295 304 354 380 456 472 570 590 708 760 885 912 944 1121 1140 1180 1416 1520 1770 2242 2280 2360 2832 3363 3540 4484 4560 4720 5605 6726 7080 8968 11210 13452 14160 16815 17936 22420 26904 33630 41333 44840 53808 67260 82666 89680 123999 134520 165332 206665 247998 269040 330664 413330 495996 619995 661328 785327 826660 991992 1239990 1570654 1653320 1983984 2355981 2438647 2479980 3141308 3306640 3926635 4711962 4877294 4959960 6282616 7315941 7853270 9423924 9754588 9919920 11779905 12193235 12565232 14631882 15706540 18847848 19509176 23559810 24386470 29263764 31413080 36579705 37695696 39018352 46334293 47119620 48772940 58527528 62826160 73159410 92668586 94239240 97545880 117055056 139002879 146318820 185337172 188478480 195091760 231671465 278005758 292637640 370674344 463342930 556011516 585275280 695014395 741348688 926685860 1112023032 1390028790 1853371720 2224046064 2780057580 3706743440 5560115160 11120230320