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20110305040 = 24571710320509
BaseRepresentation
bin10010101110101010…
…101110011100010000
31220220112002100022121
4102232222232130100
5312141214230130
613123305344024
71311231525640
oct225652563420
956815070277
1020110305040
11858a819911
123a92a98014
131b864b8aa7
14d8abda520
157ca7a8d7a
hex4aeaae710

20110305040 has 160 divisors (see below), whose sum is σ = 57131343360. Its totient is φ = 6426058752.

The previous prime is 20110305037. The next prime is 20110305041. The reversal of 20110305040 is 4050301102.

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

It is not an unprimeable number, because it can be changed into a prime (20110305041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970306 + ... + 990814.

It is an arithmetic number, because the mean of its divisors is an integer number (357070896).

Almost surely, 220110305040 is an apocalyptic number.

20110305040 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 20110305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28565671680).

20110305040 is an abundant number, since it is smaller than the sum of its proper divisors (37021038320).

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

20110305040 is a wasteful number, since it uses less digits than its factorization.

20110305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649 (or 20643 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 20110305040 its reverse (4050301102), we get a palindrome (24160606142).

The spelling of 20110305040 in words is "twenty billion, one hundred ten million, three hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 103 112 119 136 140 170 206 238 272 280 340 412 476 515 560 595 680 721 824 952 1030 1190 1360 1442 1648 1751 1904 2060 2380 2884 3502 3605 4120 4760 5768 7004 7210 8240 8755 9520 11536 12257 14008 14420 17510 20509 24514 28016 28840 35020 41018 49028 57680 61285 70040 82036 98056 102545 122570 140080 143563 164072 196112 205090 245140 287126 328144 348653 410180 490280 574252 697306 717815 820360 980560 1148504 1394612 1435630 1640720 1743265 2112427 2297008 2440571 2789224 2871260 3486530 4224854 4881142 5578448 5742520 6973060 8449708 9762284 10562135 11485040 12202855 13946120 14786989 16899416 19524568 21124270 24405710 27892240 29573978 33798832 35911259 39049136 42248540 48811420 59147956 71822518 73934945 84497080 97622840 118295912 143645036 147869890 168994160 179556295 195245680 236591824 251378813 287290072 295739780 359112590 502757626 574580144 591479560 718225180 1005515252 1182959120 1256894065 1436450360 2011030504 2513788130 2872900720 4022061008 5027576260 10055152520 20110305040