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11103230320 = 2457133149199
BaseRepresentation
bin10100101011100110…
…11101100101110000
31001122210200112121121
422111303131211300
5140214411332240
65033432432024
7542101620610
oct122563354560
931583615547
1011103230320
114788536306
12219a548614
13107c42c590
147748a2a40
1544eb8104a
hex295cdd970

11103230320 has 160 divisors (see below), whose sum is σ = 32797900800. Its totient is φ = 3400565760.

The previous prime is 11103230267. The next prime is 11103230323. The reversal of 11103230320 is 2303230111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11103230294 and 11103230303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103230323) 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, 201081 + ... + 250279.

It is an arithmetic number, because the mean of its divisors is an integer number (204986880).

Almost surely, 211103230320 is an apocalyptic number.

11103230320 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 11103230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398950400).

11103230320 is an abundant number, since it is smaller than the sum of its proper divisors (21694670480).

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

11103230320 is a wasteful number, since it uses less digits than its factorization.

11103230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49263 (or 49257 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11103230320 its reverse (2303230111), we get a palindrome (13406460431).

The spelling of 11103230320 in words is "eleven billion, one hundred three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 182 208 217 248 260 280 310 364 403 434 455 496 520 560 620 728 806 868 910 1040 1085 1240 1456 1612 1736 1820 2015 2170 2480 2821 3224 3472 3640 4030 4340 5642 6448 7280 8060 8680 11284 14105 16120 17360 22568 28210 32240 45136 49199 56420 98398 112840 196796 225680 245995 344393 393592 491990 639587 688786 787184 983980 1279174 1377572 1525169 1721965 1967960 2558348 2755144 3050338 3197935 3443930 3935920 4477109 5116696 5510288 6100676 6395870 6887860 7625845 8954218 10233392 10676183 12201352 12791740 13775720 15251690 17908436 19827197 21352366 22385545 24402704 25583480 27551440 30503380 35816872 39654394 42704732 44771090 51166960 53380915 61006760 71633744 79308788 85409464 89542180 99135985 106761830 122013520 138790379 158617576 170818928 179084360 198271970 213523660 277580758 317235152 358168720 396543940 427047320 555161516 693951895 793087880 854094640 1110323032 1387903790 1586175760 2220646064 2775807580 5551615160 11103230320