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20340022120 = 23511197333329
BaseRepresentation
bin10010111100010111…
…000001101101101000
31221111112100011220121
4102330113001231220
5313124021201440
613202153133024
71320021223015
oct227427015550
957445304817
1020340022120
118698459740
123b379ba174
131bc1c79362
14dad51670c
157e0a3334a
hex4bc5c1b68

20340022120 has 128 divisors (see below), whose sum is σ = 53274672000. Its totient is φ = 6910894080.

The previous prime is 20340022091. The next prime is 20340022121. The reversal of 20340022120 is 2122004302.

It is a super-3 number, since 3×203400221203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20340022094 and 20340022103.

It is not an unprimeable number, because it can be changed into a prime (20340022121) 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, 593616 + ... + 626944.

It is an arithmetic number, because the mean of its divisors is an integer number (416208375).

Almost surely, 220340022120 is an apocalyptic number.

20340022120 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 20340022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26637336000).

20340022120 is an abundant number, since it is smaller than the sum of its proper divisors (32934649880).

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

20340022120 is a wasteful number, since it uses less digits than its factorization.

20340022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33443 (or 33439 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20340022120 its reverse (2122004302), we get a palindrome (22462026422).

The spelling of 20340022120 in words is "twenty billion, three hundred forty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 73 76 88 95 110 146 152 190 209 220 292 365 380 418 440 584 730 760 803 836 1045 1387 1460 1606 1672 2090 2774 2920 3212 4015 4180 5548 6424 6935 8030 8360 11096 13870 15257 16060 27740 30514 32120 33329 55480 61028 66658 76285 122056 133316 152570 166645 266632 305140 333290 366619 610280 633251 666580 733238 1266502 1333160 1466476 1833095 2433017 2533004 2932952 3166255 3666190 4866034 5066008 6332510 6965761 7332380 9732068 12165085 12665020 13931522 14664760 19464136 24330170 25330040 26763187 27863044 34828805 46227323 48660340 53526374 55726088 69657610 92454646 97320680 107052748 133815935 139315220 184909292 214105496 231136615 267631870 278630440 369818584 462273230 508500553 535263740 924546460 1017001106 1070527480 1849092920 2034002212 2542502765 4068004424 5085005530 10170011060 20340022120