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11322014424 = 2337197348589
BaseRepresentation
bin10101000101101100…
…00011101011011000
31002020001100220222120
422202312003223120
5141141413430144
65111250021240
7550366351260
oct124266035330
932201326876
1011322014424
11488aa89016
12223b877820
1310b5862726
147959747a0
15463e9ae19
hex2a2d83ad8

11322014424 has 128 divisors (see below), whose sum is σ = 34518336000. Its totient is φ = 3022562304.

The previous prime is 11322014387. The next prime is 11322014447. The reversal of 11322014424 is 42441022311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11322014394 and 11322014403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208722 + ... + 257310.

It is an arithmetic number, because the mean of its divisors is an integer number (269674500).

Almost surely, 211322014424 is an apocalyptic number.

11322014424 is a gapful number since it is divisible by the number (14) 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 11322014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259168000).

11322014424 is an abundant number, since it is smaller than the sum of its proper divisors (23196321576).

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

11322014424 is a wasteful number, since it uses less digits than its factorization.

11322014424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48697 (or 48693 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11322014424 its reverse (42441022311), we get a palindrome (53763036735).

The spelling of 11322014424 in words is "eleven billion, three hundred twenty-two million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 73 76 84 114 133 146 152 168 219 228 266 292 399 438 456 511 532 584 798 876 1022 1064 1387 1533 1596 1752 2044 2774 3066 3192 4088 4161 5548 6132 8322 9709 11096 12264 16644 19418 29127 33288 38836 48589 58254 77672 97178 116508 145767 194356 233016 291534 340123 388712 583068 680246 923191 1020369 1166136 1360492 1846382 2040738 2720984 2769573 3546997 3692764 4081476 5539146 6462337 7093994 7385528 8162952 10640991 11078292 12924674 14187988 19387011 21281982 22156584 24828979 25849348 28375976 38774022 42563964 49657958 51698696 67392943 74486937 77548044 85127928 99315916 134785886 148973874 155096088 198631832 202178829 269571772 297947748 404357658 471750601 539143544 595895496 808715316 943501202 1415251803 1617430632 1887002404 2830503606 3774004808 5661007212 11322014424