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20112322340 = 22511253233673
BaseRepresentation
bin10010101110110010…
…011010111100100100
31220220122212211112102
4102232302122330210
5312142223303330
613123420511232
71311254630165
oct225662327444
956818784472
1020112322340
118590977500
123a936ab518
131b86a44066
14d8b1a376c
157caa56945
hex4aec9af24

20112322340 has 144 divisors (see below), whose sum is σ = 47574085104. Its totient is φ = 7134167040.

The previous prime is 20112322337. The next prime is 20112322357. The reversal of 20112322340 is 4322321102.

It can be written as a sum of positive squares in 8 ways, for example, as 823001344 + 19289320996 = 28688^2 + 138886^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29884244 + ... + 29884916.

It is an arithmetic number, because the mean of its divisors is an integer number (330375591).

Almost surely, 220112322340 is an apocalyptic number.

20112322340 is a gapful number since it is divisible by the number (20) 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 20112322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23787042552).

20112322340 is an abundant number, since it is smaller than the sum of its proper divisors (27461762764).

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

20112322340 is a wasteful number, since it uses less digits than its factorization.

20112322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20112322340 its reverse (4322321102), we get a palindrome (24434643442).

The spelling of 20112322340 in words is "twenty billion, one hundred twelve million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 121 212 220 233 242 265 466 484 530 583 605 673 932 1060 1165 1166 1210 1346 2330 2332 2420 2563 2692 2915 3365 4660 5126 5830 6413 6730 7403 10252 11660 12349 12815 12826 13460 14806 24698 25630 25652 28193 29612 32065 35669 37015 49396 51260 56386 61745 64130 71338 74030 81433 112772 123490 128260 135839 140965 142676 148060 156809 162866 178345 246980 271678 281930 313618 325732 356690 392359 407165 543356 563860 627236 679195 713380 784045 784718 814330 1358390 1494229 1568090 1569436 1628660 1724899 1961795 2716780 2988458 3136180 3449798 3923590 4315949 5976916 6899596 7471145 7847180 8310877 8624495 8631898 14942290 16621754 17248990 17263796 18973889 21579745 29884580 33243508 34497980 37947778 41554385 43159490 75895556 83108770 86318980 91419647 94869445 166217540 182839294 189738890 365678588 379477780 457098235 914196470 1005616117 1828392940 2011232234 4022464468 5028080585 10056161170 20112322340