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11330103120 = 2435726325643
BaseRepresentation
bin10101000110101001…
…11010011101010000
31002020121120212120220
422203110322131100
5141201001244440
65112135233040
7550525200420
oct124324723520
932217525526
1011330103120
114894603196
122242518780
1310b743533b
14796a7c480
15464a478d0
hex2a353a750

11330103120 has 160 divisors (see below), whose sum is σ = 40295135232. Its totient is φ = 2579790336.

The previous prime is 11330103089. The next prime is 11330103121. The reversal of 11330103120 is 2130103311.

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 11330103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330103121) 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, 429019 + ... + 454661.

Almost surely, 211330103120 is an apocalyptic number.

11330103120 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 11330103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147567616).

11330103120 is an abundant number, since it is smaller than the sum of its proper divisors (28965032112).

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

11330103120 is a wasteful number, since it uses less digits than its factorization.

11330103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25929 (or 25923 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11330103120 its reverse (2130103311), we get a palindrome (13460206431).

The spelling of 11330103120 in words is "eleven billion, three hundred thirty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 263 280 336 420 526 560 789 840 1052 1315 1578 1680 1841 2104 2630 3156 3682 3945 4208 5260 5523 6312 7364 7890 9205 10520 11046 12624 14728 15780 18410 21040 22092 25643 27615 29456 31560 36820 44184 51286 55230 63120 73640 76929 88368 102572 110460 128215 147280 153858 179501 205144 220920 256430 307716 359002 384645 410288 441840 512860 538503 615432 718004 769290 897505 1025720 1077006 1230864 1436008 1538580 1795010 2051440 2154012 2692515 2872016 3077160 3590020 4308024 5385030 6154320 6744109 7180040 8616048 10770060 13488218 14360080 20232327 21540120 26976436 33720545 40464654 43080240 47208763 53952872 67441090 80929308 94417526 101161635 107905744 134882180 141626289 161858616 188835052 202323270 236043815 269764360 283252578 323717232 377670104 404646540 472087630 539528720 566505156 708131445 755340208 809293080 944175260 1133010312 1416262890 1618586160 1888350520 2266020624 2832525780 3776701040 5665051560 11330103120