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11403112420 = 2257297139863
BaseRepresentation
bin10101001111010110…
…11010111111100100
31002102200222010112001
422213223122333210
5141323144044140
65123304135044
7552402566500
oct124753327744
932380863461
1011403112420
11492183a157
122262a67484
1310c95b87cb
147a2645300
1546b169e9a
hex2a7adafe4

11403112420 has 144 divisors (see below), whose sum is σ = 28378667520. Its totient is φ = 3837044736.

The previous prime is 11403112363. The next prime is 11403112421. The reversal of 11403112420 is 2421130411.

It is not an unprimeable number, because it can be changed into a prime (11403112421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13212909 + ... + 13213771.

It is an arithmetic number, because the mean of its divisors is an integer number (197074080).

Almost surely, 211403112420 is an apocalyptic number.

11403112420 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 11403112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189333760).

11403112420 is an abundant number, since it is smaller than the sum of its proper divisors (16975555100).

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

11403112420 is a wasteful number, since it uses less digits than its factorization.

11403112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11403112420 its reverse (2421130411), we get a palindrome (13824242831).

The spelling of 11403112420 in words is "eleven billion, four hundred three million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 139 140 194 196 245 278 388 485 490 556 679 695 863 970 973 980 1358 1390 1726 1940 1946 2716 2780 3395 3452 3892 4315 4753 4865 6041 6790 6811 8630 9506 9730 12082 13483 13580 13622 17260 19012 19460 23765 24164 26966 27244 30205 34055 42287 47530 53932 60410 67415 68110 83711 84574 94381 95060 119957 120820 134830 136220 167422 169148 188762 211435 239914 269660 334844 377524 418555 422870 471905 479828 585977 599785 660667 837110 839699 845740 943810 1171954 1199570 1321334 1674220 1679398 1887620 2343908 2399140 2642668 2929885 3303335 3358796 4101839 4198495 5859770 5877893 6606670 8203678 8396990 11635829 11719540 11755786 13213340 16407356 16793980 20509195 23271658 23511572 29389465 41018390 46543316 58179145 58778930 81450803 82036780 116358290 117557860 162901606 232716580 325803212 407254015 570155621 814508030 1140311242 1629016060 2280622484 2850778105 5701556210 11403112420